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Finding the Fourth Proportional to 385,713.18, 532,272.42 and 213,624.32

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Solution

The fourth proportional to 385,713.18, 532,272.42 and 213,624.32 is: 294,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,713.18 : 532,272.42 = 213,624.32 : x
  2. Step 2: Convert to fraction form
    385,713.18/532,272.42 = 213,624.32/x
  3. Step 3: Cross multiply
    385,713.18x = 532,272.42 × 213,624.32
  4. Step 4: Simplify right side
    385,713.18x = 113,706,331,115.89
  5. Step 5: Solve for x
    x = 113,706,331,115.89/385,713.18
  6. Step 6: Final answer
    x = 294,795.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.