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Finding the Fourth Proportional to 417,034.60, 575,510.74 and 226,049.32

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Solution

The fourth proportional to 417,034.60, 575,510.74 and 226,049.32 is: 311,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,034.60 : 575,510.74 = 226,049.32 : x
  2. Step 2: Convert to fraction form
    417,034.60/575,510.74 = 226,049.32/x
  3. Step 3: Cross multiply
    417,034.60x = 575,510.74 × 226,049.32
  4. Step 4: Simplify right side
    417,034.60x = 130,093,811,429.70
  5. Step 5: Solve for x
    x = 130,093,811,429.70/417,034.60
  6. Step 6: Final answer
    x = 311,949.68

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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.