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Finding the Fourth Proportional to 386,442.50, 533,296.10 and 233,459.42

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Solution

The fourth proportional to 386,442.50, 533,296.10 and 233,459.42 is: 322,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,442.50 : 533,296.10 = 233,459.42 : x
  2. Step 2: Convert to fraction form
    386,442.50/533,296.10 = 233,459.42/x
  3. Step 3: Cross multiply
    386,442.50x = 533,296.10 × 233,459.42
  4. Step 4: Simplify right side
    386,442.50x = 124,502,996,111.43
  5. Step 5: Solve for x
    x = 124,502,996,111.43/386,442.50
  6. Step 6: Final answer
    x = 322,177.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.