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Finding the Fourth Proportional to 508,006.61, 761,476.46 and 170,930.24

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Solution

The fourth proportional to 508,006.61, 761,476.46 and 170,930.24 is: 256,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,006.61 : 761,476.46 = 170,930.24 : x
  2. Step 2: Convert to fraction form
    508,006.61/761,476.46 = 170,930.24/x
  3. Step 3: Cross multiply
    508,006.61x = 761,476.46 × 170,930.24
  4. Step 4: Simplify right side
    508,006.61x = 130,159,349,400.12
  5. Step 5: Solve for x
    x = 130,159,349,400.12/508,006.61
  6. Step 6: Final answer
    x = 256,215.86

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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.