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Finding the Fourth Proportional to 416,311.60, 623,964.52 and 202,759.45

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Solution

The fourth proportional to 416,311.60, 623,964.52 and 202,759.45 is: 303,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,311.60 : 623,964.52 = 202,759.45 : x
  2. Step 2: Convert to fraction form
    416,311.60/623,964.52 = 202,759.45/x
  3. Step 3: Cross multiply
    416,311.60x = 623,964.52 × 202,759.45
  4. Step 4: Simplify right side
    416,311.60x = 126,514,703,957.53
  5. Step 5: Solve for x
    x = 126,514,703,957.53/416,311.60
  6. Step 6: Final answer
    x = 303,894.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.