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Finding the Fourth Proportional to 465,099.60, 697,649.40 and 457,226.40

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Solution

The fourth proportional to 465,099.60, 697,649.40 and 457,226.40 is: 685,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,099.60 : 697,649.40 = 457,226.40 : x
  2. Step 2: Convert to fraction form
    465,099.60/697,649.40 = 457,226.40/x
  3. Step 3: Cross multiply
    465,099.60x = 697,649.40 × 457,226.40
  4. Step 4: Simplify right side
    465,099.60x = 318,983,723,624.16
  5. Step 5: Solve for x
    x = 318,983,723,624.16/465,099.60
  6. Step 6: Final answer
    x = 685,839.60

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.