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Finding the Fourth Proportional to 614,344.50, 847,768.14 and 342,442.08

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Solution

The fourth proportional to 614,344.50, 847,768.14 and 342,442.08 is: 472,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,344.50 : 847,768.14 = 342,442.08 : x
  2. Step 2: Convert to fraction form
    614,344.50/847,768.14 = 342,442.08/x
  3. Step 3: Cross multiply
    614,344.50x = 847,768.14 × 342,442.08
  4. Step 4: Simplify right side
    614,344.50x = 290,311,485,219.33
  5. Step 5: Solve for x
    x = 290,311,485,219.33/614,344.50
  6. Step 6: Final answer
    x = 472,554.87

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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.