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Finding the Fourth Proportional to 527,111.76, 727,367.37 and 312,217.14

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Solution

The fourth proportional to 527,111.76, 727,367.37 and 312,217.14 is: 430,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,111.76 : 727,367.37 = 312,217.14 : x
  2. Step 2: Convert to fraction form
    527,111.76/727,367.37 = 312,217.14/x
  3. Step 3: Cross multiply
    527,111.76x = 727,367.37 × 312,217.14
  4. Step 4: Simplify right side
    527,111.76x = 227,096,559,990.72
  5. Step 5: Solve for x
    x = 227,096,559,990.72/527,111.76
  6. Step 6: Final answer
    x = 430,831.90

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1.5x scale

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.