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Finding the Fourth Proportional to 406,667.76, 610,078.40 and 154,023.90

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Solution

The fourth proportional to 406,667.76, 610,078.40 and 154,023.90 is: 231,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,667.76 : 610,078.40 = 154,023.90 : x
  2. Step 2: Convert to fraction form
    406,667.76/610,078.40 = 154,023.90/x
  3. Step 3: Cross multiply
    406,667.76x = 610,078.40 × 154,023.90
  4. Step 4: Simplify right side
    406,667.76x = 93,966,654,473.76
  5. Step 5: Solve for x
    x = 93,966,654,473.76/406,667.76
  6. Step 6: Final answer
    x = 231,064.92

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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.