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Finding the Fourth Proportional to 384,144.71, 530,149.03 and 212,095.80

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Solution

The fourth proportional to 384,144.71, 530,149.03 and 212,095.80 is: 292,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.71 : 530,149.03 = 212,095.80 : x
  2. Step 2: Convert to fraction form
    384,144.71/530,149.03 = 212,095.80/x
  3. Step 3: Cross multiply
    384,144.71x = 530,149.03 × 212,095.80
  4. Step 4: Simplify right side
    384,144.71x = 112,442,382,106.83
  5. Step 5: Solve for x
    x = 112,442,382,106.83/384,144.71
  6. Step 6: Final answer
    x = 292,708.40

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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.