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Finding the Fourth Proportional to 420,354.77, 580,103.57 and 229,378.64

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Solution

The fourth proportional to 420,354.77, 580,103.57 and 229,378.64 is: 316,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,354.77 : 580,103.57 = 229,378.64 : x
  2. Step 2: Convert to fraction form
    420,354.77/580,103.57 = 229,378.64/x
  3. Step 3: Cross multiply
    420,354.77x = 580,103.57 × 229,378.64
  4. Step 4: Simplify right side
    420,354.77x = 133,063,365,618.67
  5. Step 5: Solve for x
    x = 133,063,365,618.67/420,354.77
  6. Step 6: Final answer
    x = 316,550.15

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Double scale
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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.