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Finding the Fourth Proportional to 462,593.70, 638,027.08 and 398,172.58

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Solution

The fourth proportional to 462,593.70, 638,027.08 and 398,172.58 is: 549,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,593.70 : 638,027.08 = 398,172.58 : x
  2. Step 2: Convert to fraction form
    462,593.70/638,027.08 = 398,172.58/x
  3. Step 3: Cross multiply
    462,593.70x = 638,027.08 × 398,172.58
  4. Step 4: Simplify right side
    462,593.70x = 254,044,885,962.97
  5. Step 5: Solve for x
    x = 254,044,885,962.97/462,593.70
  6. Step 6: Final answer
    x = 549,174.98

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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.