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Finding the Fourth Proportional to 475,132.65, 712,199.61 and 175,422.12

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Solution

The fourth proportional to 475,132.65, 712,199.61 and 175,422.12 is: 262,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,132.65 : 712,199.61 = 175,422.12 : x
  2. Step 2: Convert to fraction form
    475,132.65/712,199.61 = 175,422.12/x
  3. Step 3: Cross multiply
    475,132.65x = 712,199.61 × 175,422.12
  4. Step 4: Simplify right side
    475,132.65x = 124,935,565,449.37
  5. Step 5: Solve for x
    x = 124,935,565,449.37/475,132.65
  6. Step 6: Final answer
    x = 262,948.81

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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.