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Finding the Fourth Proportional to 406,417.02, 609,711.14 and 153,691.92

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Solution

The fourth proportional to 406,417.02, 609,711.14 and 153,691.92 is: 230,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,417.02 : 609,711.14 = 153,691.92 : x
  2. Step 2: Convert to fraction form
    406,417.02/609,711.14 = 153,691.92/x
  3. Step 3: Cross multiply
    406,417.02x = 609,711.14 × 153,691.92
  4. Step 4: Simplify right side
    406,417.02x = 93,707,674,983.53
  5. Step 5: Solve for x
    x = 93,707,674,983.53/406,417.02
  6. Step 6: Final answer
    x = 230,570.25

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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.