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Finding the Fourth Proportional to 413,001.08, 619,566.42 and 176,345

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Solution

The fourth proportional to 413,001.08, 619,566.42 and 176,345 is: 264,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,001.08 : 619,566.42 = 176,345 : x
  2. Step 2: Convert to fraction form
    413,001.08/619,566.42 = 176,345/x
  3. Step 3: Cross multiply
    413,001.08x = 619,566.42 × 176,345
  4. Step 4: Simplify right side
    413,001.08x = 109,257,440,334.90
  5. Step 5: Solve for x
    x = 109,257,440,334.90/413,001.08
  6. Step 6: Final answer
    x = 264,545.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.