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Finding the Fourth Proportional to 527,367.04, 727,896.72 and 301,143.76

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Solution

The fourth proportional to 527,367.04, 727,896.72 and 301,143.76 is: 415,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,367.04 : 727,896.72 = 301,143.76 : x
  2. Step 2: Convert to fraction form
    527,367.04/727,896.72 = 301,143.76/x
  3. Step 3: Cross multiply
    527,367.04x = 727,896.72 × 301,143.76
  4. Step 4: Simplify right side
    527,367.04x = 219,201,555,152.47
  5. Step 5: Solve for x
    x = 219,201,555,152.47/527,367.04
  6. Step 6: Final answer
    x = 415,652.74

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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.