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Finding the Fourth Proportional to 614,348.46, 847,805.04 and 342,433.86

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Solution

The fourth proportional to 614,348.46, 847,805.04 and 342,433.86 is: 472,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,348.46 : 847,805.04 = 342,433.86 : x
  2. Step 2: Convert to fraction form
    614,348.46/847,805.04 = 342,433.86/x
  3. Step 3: Cross multiply
    614,348.46x = 847,805.04 × 342,433.86
  4. Step 4: Simplify right side
    614,348.46x = 290,317,152,374.65
  5. Step 5: Solve for x
    x = 290,317,152,374.65/614,348.46
  6. Step 6: Final answer
    x = 472,561.05

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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.