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Finding the Fourth Proportional to 328,549.32, 490,447.29 and 288,691.40

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Solution

The fourth proportional to 328,549.32, 490,447.29 and 288,691.40 is: 430,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,549.32 : 490,447.29 = 288,691.40 : x
  2. Step 2: Convert to fraction form
    328,549.32/490,447.29 = 288,691.40/x
  3. Step 3: Cross multiply
    328,549.32x = 490,447.29 × 288,691.40
  4. Step 4: Simplify right side
    328,549.32x = 141,587,914,776.31
  5. Step 5: Solve for x
    x = 141,587,914,776.31/328,549.32
  6. Step 6: Final answer
    x = 430,948.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.