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Finding the Fourth Proportional to 402,270.34, 603,411.02 and 102,753.40

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Solution

The fourth proportional to 402,270.34, 603,411.02 and 102,753.40 is: 154,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,270.34 : 603,411.02 = 102,753.40 : x
  2. Step 2: Convert to fraction form
    402,270.34/603,411.02 = 102,753.40/x
  3. Step 3: Cross multiply
    402,270.34x = 603,411.02 × 102,753.40
  4. Step 4: Simplify right side
    402,270.34x = 62,002,533,902.47
  5. Step 5: Solve for x
    x = 62,002,533,902.47/402,270.34
  6. Step 6: Final answer
    x = 154,131.51

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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.