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Finding the Fourth Proportional to 698,182.38, 963,434.70 and 392,242.14

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Solution

The fourth proportional to 698,182.38, 963,434.70 and 392,242.14 is: 541,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,182.38 : 963,434.70 = 392,242.14 : x
  2. Step 2: Convert to fraction form
    698,182.38/963,434.70 = 392,242.14/x
  3. Step 3: Cross multiply
    698,182.38x = 963,434.70 × 392,242.14
  4. Step 4: Simplify right side
    698,182.38x = 377,899,688,478.26
  5. Step 5: Solve for x
    x = 377,899,688,478.26/698,182.38
  6. Step 6: Final answer
    x = 541,262.14

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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.