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Finding the Fourth Proportional to 475,339.10, 713,125.29 and 138,382.77

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Solution

The fourth proportional to 475,339.10, 713,125.29 and 138,382.77 is: 207,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,339.10 : 713,125.29 = 138,382.77 : x
  2. Step 2: Convert to fraction form
    475,339.10/713,125.29 = 138,382.77/x
  3. Step 3: Cross multiply
    475,339.10x = 713,125.29 × 138,382.77
  4. Step 4: Simplify right side
    475,339.10x = 98,684,252,987.25
  5. Step 5: Solve for x
    x = 98,684,252,987.25/475,339.10
  6. Step 6: Final answer
    x = 207,608.11

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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.