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Finding the Fourth Proportional to 406,752.48, 610,455.96 and 229,430.52

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Solution

The fourth proportional to 406,752.48, 610,455.96 and 229,430.52 is: 344,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,752.48 : 610,455.96 = 229,430.52 : x
  2. Step 2: Convert to fraction form
    406,752.48/610,455.96 = 229,430.52/x
  3. Step 3: Cross multiply
    406,752.48x = 610,455.96 × 229,430.52
  4. Step 4: Simplify right side
    406,752.48x = 140,057,228,339.90
  5. Step 5: Solve for x
    x = 140,057,228,339.90/406,752.48
  6. Step 6: Final answer
    x = 344,330.36

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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.