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Finding the Fourth Proportional to 502,152.22, 692,801.47 and 284,331.12

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Solution

The fourth proportional to 502,152.22, 692,801.47 and 284,331.12 is: 392,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,152.22 : 692,801.47 = 284,331.12 : x
  2. Step 2: Convert to fraction form
    502,152.22/692,801.47 = 284,331.12/x
  3. Step 3: Cross multiply
    502,152.22x = 692,801.47 × 284,331.12
  4. Step 4: Simplify right side
    502,152.22x = 196,985,016,481.09
  5. Step 5: Solve for x
    x = 196,985,016,481.09/502,152.22
  6. Step 6: Final answer
    x = 392,281.48

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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.