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Finding the Fourth Proportional to 488,529.76, 733,538.24 and 464,472.64

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Solution

The fourth proportional to 488,529.76, 733,538.24 and 464,472.64 is: 697,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,529.76 : 733,538.24 = 464,472.64 : x
  2. Step 2: Convert to fraction form
    488,529.76/733,538.24 = 464,472.64/x
  3. Step 3: Cross multiply
    488,529.76x = 733,538.24 × 464,472.64
  4. Step 4: Simplify right side
    488,529.76x = 340,708,442,873.75
  5. Step 5: Solve for x
    x = 340,708,442,873.75/488,529.76
  6. Step 6: Final answer
    x = 697,415.94

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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.