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Finding the Fourth Proportional to 541,192.76, 746,925.24 and 311,705.94

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Solution

The fourth proportional to 541,192.76, 746,925.24 and 311,705.94 is: 430,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,192.76 : 746,925.24 = 311,705.94 : x
  2. Step 2: Convert to fraction form
    541,192.76/746,925.24 = 311,705.94/x
  3. Step 3: Cross multiply
    541,192.76x = 746,925.24 × 311,705.94
  4. Step 4: Simplify right side
    541,192.76x = 232,821,034,043.93
  5. Step 5: Solve for x
    x = 232,821,034,043.93/541,192.76
  6. Step 6: Final answer
    x = 430,199.83

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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.