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Finding the Fourth Proportional to 527,103.08, 727,105.30 and 333,450.71

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Solution

The fourth proportional to 527,103.08, 727,105.30 and 333,450.71 is: 459,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,103.08 : 727,105.30 = 333,450.71 : x
  2. Step 2: Convert to fraction form
    527,103.08/727,105.30 = 333,450.71/x
  3. Step 3: Cross multiply
    527,103.08x = 727,105.30 × 333,450.71
  4. Step 4: Simplify right side
    527,103.08x = 242,453,774,060.61
  5. Step 5: Solve for x
    x = 242,453,774,060.61/527,103.08
  6. Step 6: Final answer
    x = 459,974.12

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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.