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Finding the Fourth Proportional to 488,664.32, 732,997.08 and 133,681.41

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Solution

The fourth proportional to 488,664.32, 732,997.08 and 133,681.41 is: 200,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,664.32 : 732,997.08 = 133,681.41 : x
  2. Step 2: Convert to fraction form
    488,664.32/732,997.08 = 133,681.41/x
  3. Step 3: Cross multiply
    488,664.32x = 732,997.08 × 133,681.41
  4. Step 4: Simplify right side
    488,664.32x = 97,988,083,180.28
  5. Step 5: Solve for x
    x = 97,988,083,180.28/488,664.32
  6. Step 6: Final answer
    x = 200,522.28

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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.