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Finding the Fourth Proportional to 413,007.90, 619,366.05 and 146,777.10

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Solution

The fourth proportional to 413,007.90, 619,366.05 and 146,777.10 is: 220,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,007.90 : 619,366.05 = 146,777.10 : x
  2. Step 2: Convert to fraction form
    413,007.90/619,366.05 = 146,777.10/x
  3. Step 3: Cross multiply
    413,007.90x = 619,366.05 × 146,777.10
  4. Step 4: Simplify right side
    413,007.90x = 90,908,752,657.46
  5. Step 5: Solve for x
    x = 90,908,752,657.46/413,007.90
  6. Step 6: Final answer
    x = 220,113.83

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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.