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Finding the Fourth Proportional to 475,287.40, 713,039.10 and 159,776.20

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Solution

The fourth proportional to 475,287.40, 713,039.10 and 159,776.20 is: 239,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,287.40 : 713,039.10 = 159,776.20 : x
  2. Step 2: Convert to fraction form
    475,287.40/713,039.10 = 159,776.20/x
  3. Step 3: Cross multiply
    475,287.40x = 713,039.10 × 159,776.20
  4. Step 4: Simplify right side
    475,287.40x = 113,926,677,849.42
  5. Step 5: Solve for x
    x = 113,926,677,849.42/475,287.40
  6. Step 6: Final answer
    x = 239,700.61

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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.