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Finding the Fourth Proportional to 352,646.92, 528,970.40 and 86,405.14

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Solution

The fourth proportional to 352,646.92, 528,970.40 and 86,405.14 is: 129,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,646.92 : 528,970.40 = 86,405.14 : x
  2. Step 2: Convert to fraction form
    352,646.92/528,970.40 = 86,405.14/x
  3. Step 3: Cross multiply
    352,646.92x = 528,970.40 × 86,405.14
  4. Step 4: Simplify right side
    352,646.92x = 45,705,761,467.86
  5. Step 5: Solve for x
    x = 45,705,761,467.86/352,646.92
  6. Step 6: Final answer
    x = 129,607.71

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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.