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Finding the Fourth Proportional to 470,977.70, 706,466.55 and 293,684.90

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Solution

The fourth proportional to 470,977.70, 706,466.55 and 293,684.90 is: 440,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,977.70 : 706,466.55 = 293,684.90 : x
  2. Step 2: Convert to fraction form
    470,977.70/706,466.55 = 293,684.90/x
  3. Step 3: Cross multiply
    470,977.70x = 706,466.55 × 293,684.90
  4. Step 4: Simplify right side
    470,977.70x = 207,478,558,090.10
  5. Step 5: Solve for x
    x = 207,478,558,090.10/470,977.70
  6. Step 6: Final answer
    x = 440,527.35

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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.