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Finding the Fourth Proportional to 402,155.80, 603,233.70 and 307,677.40

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Solution

The fourth proportional to 402,155.80, 603,233.70 and 307,677.40 is: 461,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,155.80 : 603,233.70 = 307,677.40 : x
  2. Step 2: Convert to fraction form
    402,155.80/603,233.70 = 307,677.40/x
  3. Step 3: Cross multiply
    402,155.80x = 603,233.70 × 307,677.40
  4. Step 4: Simplify right side
    402,155.80x = 185,601,376,408.38
  5. Step 5: Solve for x
    x = 185,601,376,408.38/402,155.80
  6. Step 6: Final answer
    x = 461,516.10

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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.