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Finding the Fourth Proportional to 406,098.50, 608,481.92 and 287,557.02

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Solution

The fourth proportional to 406,098.50, 608,481.92 and 287,557.02 is: 430,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,098.50 : 608,481.92 = 287,557.02 : x
  2. Step 2: Convert to fraction form
    406,098.50/608,481.92 = 287,557.02/x
  3. Step 3: Cross multiply
    406,098.50x = 608,481.92 × 287,557.02
  4. Step 4: Simplify right side
    406,098.50x = 174,973,248,357.97
  5. Step 5: Solve for x
    x = 174,973,248,357.97/406,098.50
  6. Step 6: Final answer
    x = 430,864.07

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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.