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Finding the Fourth Proportional to 534,821.32, 738,036.72 and 293,099.50

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Solution

The fourth proportional to 534,821.32, 738,036.72 and 293,099.50 is: 404,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,821.32 : 738,036.72 = 293,099.50 : x
  2. Step 2: Convert to fraction form
    534,821.32/738,036.72 = 293,099.50/x
  3. Step 3: Cross multiply
    534,821.32x = 738,036.72 × 293,099.50
  4. Step 4: Simplify right side
    534,821.32x = 216,318,193,613.64
  5. Step 5: Solve for x
    x = 216,318,193,613.64/534,821.32
  6. Step 6: Final answer
    x = 404,468.16

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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.