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Finding the Fourth Proportional to 385,734.56, 532,314.32 and 215,971.52

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Solution

The fourth proportional to 385,734.56, 532,314.32 and 215,971.52 is: 298,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,734.56 : 532,314.32 = 215,971.52 : x
  2. Step 2: Convert to fraction form
    385,734.56/532,314.32 = 215,971.52/x
  3. Step 3: Cross multiply
    385,734.56x = 532,314.32 × 215,971.52
  4. Step 4: Simplify right side
    385,734.56x = 114,964,732,808.17
  5. Step 5: Solve for x
    x = 114,964,732,808.17/385,734.56
  6. Step 6: Final answer
    x = 298,041.05

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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.