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Finding the Fourth Proportional to 465,038.70, 697,558.05 and 414,300.30

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Solution

The fourth proportional to 465,038.70, 697,558.05 and 414,300.30 is: 621,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,038.70 : 697,558.05 = 414,300.30 : x
  2. Step 2: Convert to fraction form
    465,038.70/697,558.05 = 414,300.30/x
  3. Step 3: Cross multiply
    465,038.70x = 697,558.05 × 414,300.30
  4. Step 4: Simplify right side
    465,038.70x = 288,998,509,382.42
  5. Step 5: Solve for x
    x = 288,998,509,382.42/465,038.70
  6. Step 6: Final answer
    x = 621,450.45

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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.