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Finding the Fourth Proportional to 288,697.16, 433,017.87 and 88,963.92

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Solution

The fourth proportional to 288,697.16, 433,017.87 and 88,963.92 is: 133,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,697.16 : 433,017.87 = 88,963.92 : x
  2. Step 2: Convert to fraction form
    288,697.16/433,017.87 = 88,963.92/x
  3. Step 3: Cross multiply
    288,697.16x = 433,017.87 × 88,963.92
  4. Step 4: Simplify right side
    288,697.16x = 38,522,966,811.64
  5. Step 5: Solve for x
    x = 38,522,966,811.64/288,697.16
  6. Step 6: Final answer
    x = 133,437.29

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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.