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Finding the Fourth Proportional to 411,989.32, 568,602.86 and 297,637.91

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Solution

The fourth proportional to 411,989.32, 568,602.86 and 297,637.91 is: 410,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,989.32 : 568,602.86 = 297,637.91 : x
  2. Step 2: Convert to fraction form
    411,989.32/568,602.86 = 297,637.91/x
  3. Step 3: Cross multiply
    411,989.32x = 568,602.86 × 297,637.91
  4. Step 4: Simplify right side
    411,989.32x = 169,237,764,671.48
  5. Step 5: Solve for x
    x = 169,237,764,671.48/411,989.32
  6. Step 6: Final answer
    x = 410,781.92

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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.