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Finding the Fourth Proportional to 337,508.62, 506,188.32 and 97,570.42

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Solution

The fourth proportional to 337,508.62, 506,188.32 and 97,570.42 is: 146,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,508.62 : 506,188.32 = 97,570.42 : x
  2. Step 2: Convert to fraction form
    337,508.62/506,188.32 = 97,570.42/x
  3. Step 3: Cross multiply
    337,508.62x = 506,188.32 × 97,570.42
  4. Step 4: Simplify right side
    337,508.62x = 49,389,006,981.49
  5. Step 5: Solve for x
    x = 49,389,006,981.49/337,508.62
  6. Step 6: Final answer
    x = 146,334.06

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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.