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Finding the Fourth Proportional to 702,562.40, 969,298.14 and 457,435.22

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Solution

The fourth proportional to 702,562.40, 969,298.14 and 457,435.22 is: 631,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,562.40 : 969,298.14 = 457,435.22 : x
  2. Step 2: Convert to fraction form
    702,562.40/969,298.14 = 457,435.22/x
  3. Step 3: Cross multiply
    702,562.40x = 969,298.14 × 457,435.22
  4. Step 4: Simplify right side
    702,562.40x = 443,391,107,916.49
  5. Step 5: Solve for x
    x = 443,391,107,916.49/702,562.40
  6. Step 6: Final answer
    x = 631,105.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.