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Finding the Fourth Proportional to 534,819.65, 738,052.16 and 293,111.19

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Solution

The fourth proportional to 534,819.65, 738,052.16 and 293,111.19 is: 404,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,819.65 : 738,052.16 = 293,111.19 : x
  2. Step 2: Convert to fraction form
    534,819.65/738,052.16 = 293,111.19/x
  3. Step 3: Cross multiply
    534,819.65x = 738,052.16 × 293,111.19
  4. Step 4: Simplify right side
    534,819.65x = 216,331,345,434.11
  5. Step 5: Solve for x
    x = 216,331,345,434.11/534,819.65
  6. Step 6: Final answer
    x = 404,494.01

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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.