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Finding the Fourth Proportional to 413,366.32, 619,808.15 and 160,351.16

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Solution

The fourth proportional to 413,366.32, 619,808.15 and 160,351.16 is: 240,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,366.32 : 619,808.15 = 160,351.16 : x
  2. Step 2: Convert to fraction form
    413,366.32/619,808.15 = 160,351.16/x
  3. Step 3: Cross multiply
    413,366.32x = 619,808.15 × 160,351.16
  4. Step 4: Simplify right side
    413,366.32x = 99,386,955,829.95
  5. Step 5: Solve for x
    x = 99,386,955,829.95/413,366.32
  6. Step 6: Final answer
    x = 240,433.12

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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.