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Finding the Fourth Proportional to 413,047.08, 619,635.42 and 176,391

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Solution

The fourth proportional to 413,047.08, 619,635.42 and 176,391 is: 264,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,047.08 : 619,635.42 = 176,391 : x
  2. Step 2: Convert to fraction form
    413,047.08/619,635.42 = 176,391/x
  3. Step 3: Cross multiply
    413,047.08x = 619,635.42 × 176,391
  4. Step 4: Simplify right side
    413,047.08x = 109,298,111,369.22
  5. Step 5: Solve for x
    x = 109,298,111,369.22/413,047.08
  6. Step 6: Final answer
    x = 264,614.17

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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.