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Finding the Fourth Proportional to 614,356.38, 847,709.10 and 342,364.68

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Solution

The fourth proportional to 614,356.38, 847,709.10 and 342,364.68 is: 472,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,356.38 : 847,709.10 = 342,364.68 : x
  2. Step 2: Convert to fraction form
    614,356.38/847,709.10 = 342,364.68/x
  3. Step 3: Cross multiply
    614,356.38x = 847,709.10 × 342,364.68
  4. Step 4: Simplify right side
    614,356.38x = 290,225,654,754.59
  5. Step 5: Solve for x
    x = 290,225,654,754.59/614,356.38
  6. Step 6: Final answer
    x = 472,406.02

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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.