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Finding the Fourth Proportional to 309,726.40, 464,006.40 and 159,455.20

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Solution

The fourth proportional to 309,726.40, 464,006.40 and 159,455.20 is: 238,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,726.40 : 464,006.40 = 159,455.20 : x
  2. Step 2: Convert to fraction form
    309,726.40/464,006.40 = 159,455.20/x
  3. Step 3: Cross multiply
    309,726.40x = 464,006.40 × 159,455.20
  4. Step 4: Simplify right side
    309,726.40x = 73,988,233,313.28
  5. Step 5: Solve for x
    x = 73,988,233,313.28/309,726.40
  6. Step 6: Final answer
    x = 238,882.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.