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Finding the Fourth Proportional to 614,331.40, 847,846.02 and 342,424.12

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Solution

The fourth proportional to 614,331.40, 847,846.02 and 342,424.12 is: 472,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,331.40 : 847,846.02 = 342,424.12 : x
  2. Step 2: Convert to fraction form
    614,331.40/847,846.02 = 342,424.12/x
  3. Step 3: Cross multiply
    614,331.40x = 847,846.02 × 342,424.12
  4. Step 4: Simplify right side
    614,331.40x = 290,322,927,294.00
  5. Step 5: Solve for x
    x = 290,322,927,294.00/614,331.40
  6. Step 6: Final answer
    x = 472,583.57

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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.