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Finding the Fourth Proportional to 614,330.26, 847,825.05 and 342,486.16

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Solution

The fourth proportional to 614,330.26, 847,825.05 and 342,486.16 is: 472,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,330.26 : 847,825.05 = 342,486.16 : x
  2. Step 2: Convert to fraction form
    614,330.26/847,825.05 = 342,486.16/x
  3. Step 3: Cross multiply
    614,330.26x = 847,825.05 × 342,486.16
  4. Step 4: Simplify right side
    614,330.26x = 290,368,345,726.31
  5. Step 5: Solve for x
    x = 290,368,345,726.31/614,330.26
  6. Step 6: Final answer
    x = 472,658.38

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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.