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Finding the Fourth Proportional to 614,382, 847,851.33 and 342,467.29

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Solution

The fourth proportional to 614,382, 847,851.33 and 342,467.29 is: 472,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,382 : 847,851.33 = 342,467.29 : x
  2. Step 2: Convert to fraction form
    614,382/847,851.33 = 342,467.29/x
  3. Step 3: Cross multiply
    614,382x = 847,851.33 × 342,467.29
  4. Step 4: Simplify right side
    614,382x = 290,361,347,308.00
  5. Step 5: Solve for x
    x = 290,361,347,308.00/614,382
  6. Step 6: Final answer
    x = 472,607.18

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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.