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Finding the Fourth Proportional to 577,174.32, 865,876.30 and 177,798.06

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Solution

The fourth proportional to 577,174.32, 865,876.30 and 177,798.06 is: 266,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,174.32 : 865,876.30 = 177,798.06 : x
  2. Step 2: Convert to fraction form
    577,174.32/865,876.30 = 177,798.06/x
  3. Step 3: Cross multiply
    577,174.32x = 865,876.30 × 177,798.06
  4. Step 4: Simplify right side
    577,174.32x = 153,951,126,339.98
  5. Step 5: Solve for x
    x = 153,951,126,339.98/577,174.32
  6. Step 6: Final answer
    x = 266,732.46

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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.