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Finding the Fourth Proportional to 360,750, 497,833.38 and 207,732.36

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Solution

The fourth proportional to 360,750, 497,833.38 and 207,732.36 is: 286,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,750 : 497,833.38 = 207,732.36 : x
  2. Step 2: Convert to fraction form
    360,750/497,833.38 = 207,732.36/x
  3. Step 3: Cross multiply
    360,750x = 497,833.38 × 207,732.36
  4. Step 4: Simplify right side
    360,750x = 103,416,102,914.18
  5. Step 5: Solve for x
    x = 103,416,102,914.18/360,750
  6. Step 6: Final answer
    x = 286,669.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.