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Finding the Fourth Proportional to 357,344.16, 493,038.60 and 204,350.78

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Solution

The fourth proportional to 357,344.16, 493,038.60 and 204,350.78 is: 281,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,344.16 : 493,038.60 = 204,350.78 : x
  2. Step 2: Convert to fraction form
    357,344.16/493,038.60 = 204,350.78/x
  3. Step 3: Cross multiply
    357,344.16x = 493,038.60 × 204,350.78
  4. Step 4: Simplify right side
    357,344.16x = 100,752,822,480.11
  5. Step 5: Solve for x
    x = 100,752,822,480.11/357,344.16
  6. Step 6: Final answer
    x = 281,948.98

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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.