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Finding the Fourth Proportional to 697,781.28, 963,063.84 and 411,284.64

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Solution

The fourth proportional to 697,781.28, 963,063.84 and 411,284.64 is: 567,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,781.28 : 963,063.84 = 411,284.64 : x
  2. Step 2: Convert to fraction form
    697,781.28/963,063.84 = 411,284.64/x
  3. Step 3: Cross multiply
    697,781.28x = 963,063.84 × 411,284.64
  4. Step 4: Simplify right side
    697,781.28x = 396,093,364,731.42
  5. Step 5: Solve for x
    x = 396,093,364,731.42/697,781.28
  6. Step 6: Final answer
    x = 567,646.88

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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.