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Finding the Fourth Proportional to 435,663.06, 653,339.96 and 127,829.14

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Solution

The fourth proportional to 435,663.06, 653,339.96 and 127,829.14 is: 191,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,663.06 : 653,339.96 = 127,829.14 : x
  2. Step 2: Convert to fraction form
    435,663.06/653,339.96 = 127,829.14/x
  3. Step 3: Cross multiply
    435,663.06x = 653,339.96 × 127,829.14
  4. Step 4: Simplify right side
    435,663.06x = 83,515,885,214.43
  5. Step 5: Solve for x
    x = 83,515,885,214.43/435,663.06
  6. Step 6: Final answer
    x = 191,698.34

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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.