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Finding the Fourth Proportional to 614,221.41, 847,614.04 and 342,283.32

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Solution

The fourth proportional to 614,221.41, 847,614.04 and 342,283.32 is: 472,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,221.41 : 847,614.04 = 342,283.32 : x
  2. Step 2: Convert to fraction form
    614,221.41/847,614.04 = 342,283.32/x
  3. Step 3: Cross multiply
    614,221.41x = 847,614.04 × 342,283.32
  4. Step 4: Simplify right side
    614,221.41x = 290,124,146,834.11
  5. Step 5: Solve for x
    x = 290,124,146,834.11/614,221.41
  6. Step 6: Final answer
    x = 472,344.57

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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.