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Finding the Fourth Proportional to 442,419.92, 662,596.51 and 406,695.27

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Solution

The fourth proportional to 442,419.92, 662,596.51 and 406,695.27 is: 609,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,419.92 : 662,596.51 = 406,695.27 : x
  2. Step 2: Convert to fraction form
    442,419.92/662,596.51 = 406,695.27/x
  3. Step 3: Cross multiply
    442,419.92x = 662,596.51 × 406,695.27
  4. Step 4: Simplify right side
    442,419.92x = 269,474,866,535.51
  5. Step 5: Solve for x
    x = 269,474,866,535.51/442,419.92
  6. Step 6: Final answer
    x = 609,092.98

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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.