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Finding the Fourth Proportional to 475,701.76, 656,468.16 and 260,845.44

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Solution

The fourth proportional to 475,701.76, 656,468.16 and 260,845.44 is: 359,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,701.76 : 656,468.16 = 260,845.44 : x
  2. Step 2: Convert to fraction form
    475,701.76/656,468.16 = 260,845.44/x
  3. Step 3: Cross multiply
    475,701.76x = 656,468.16 × 260,845.44
  4. Step 4: Simplify right side
    475,701.76x = 171,236,726,041.19
  5. Step 5: Solve for x
    x = 171,236,726,041.19/475,701.76
  6. Step 6: Final answer
    x = 359,966.56

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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.