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Finding the Fourth Proportional to 378,269.64, 567,423.90 and 97,789.32

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Solution

The fourth proportional to 378,269.64, 567,423.90 and 97,789.32 is: 146,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,269.64 : 567,423.90 = 97,789.32 : x
  2. Step 2: Convert to fraction form
    378,269.64/567,423.90 = 97,789.32/x
  3. Step 3: Cross multiply
    378,269.64x = 567,423.90 × 97,789.32
  4. Step 4: Simplify right side
    378,269.64x = 55,487,997,332.75
  5. Step 5: Solve for x
    x = 55,487,997,332.75/378,269.64
  6. Step 6: Final answer
    x = 146,689.01

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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.