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Finding the Fourth Proportional to 527,543.76, 728,004.60 and 285,811.90

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Solution

The fourth proportional to 527,543.76, 728,004.60 and 285,811.90 is: 394,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,543.76 : 728,004.60 = 285,811.90 : x
  2. Step 2: Convert to fraction form
    527,543.76/728,004.60 = 285,811.90/x
  3. Step 3: Cross multiply
    527,543.76x = 728,004.60 × 285,811.90
  4. Step 4: Simplify right side
    527,543.76x = 208,072,377,934.74
  5. Step 5: Solve for x
    x = 208,072,377,934.74/527,543.76
  6. Step 6: Final answer
    x = 394,417.29

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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.