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Finding the Fourth Proportional to 527,763.75, 791,345.70 and 207,742.17

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Solution

The fourth proportional to 527,763.75, 791,345.70 and 207,742.17 is: 311,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,763.75 : 791,345.70 = 207,742.17 : x
  2. Step 2: Convert to fraction form
    527,763.75/791,345.70 = 207,742.17/x
  3. Step 3: Cross multiply
    527,763.75x = 791,345.70 × 207,742.17
  4. Step 4: Simplify right side
    527,763.75x = 164,395,872,938.17
  5. Step 5: Solve for x
    x = 164,395,872,938.17/527,763.75
  6. Step 6: Final answer
    x = 311,495.20

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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.