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Finding the Fourth Proportional to 435,153.96, 600,358.50 and 284,338.44

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Solution

The fourth proportional to 435,153.96, 600,358.50 and 284,338.44 is: 392,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,153.96 : 600,358.50 = 284,338.44 : x
  2. Step 2: Convert to fraction form
    435,153.96/600,358.50 = 284,338.44/x
  3. Step 3: Cross multiply
    435,153.96x = 600,358.50 × 284,338.44
  4. Step 4: Simplify right side
    435,153.96x = 170,704,999,330.74
  5. Step 5: Solve for x
    x = 170,704,999,330.74/435,153.96
  6. Step 6: Final answer
    x = 392,286.44

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1.5x scale

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.