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Finding the Fourth Proportional to 536,424.80, 805,251.60 and 314,933.60

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Solution

The fourth proportional to 536,424.80, 805,251.60 and 314,933.60 is: 472,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,424.80 : 805,251.60 = 314,933.60 : x
  2. Step 2: Convert to fraction form
    536,424.80/805,251.60 = 314,933.60/x
  3. Step 3: Cross multiply
    536,424.80x = 805,251.60 × 314,933.60
  4. Step 4: Simplify right side
    536,424.80x = 253,600,785,293.76
  5. Step 5: Solve for x
    x = 253,600,785,293.76/536,424.80
  6. Step 6: Final answer
    x = 472,761.11

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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.