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Finding the Fourth Proportional to 416,228.63, 574,395.50 and 225,243.38

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Solution

The fourth proportional to 416,228.63, 574,395.50 and 225,243.38 is: 310,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,228.63 : 574,395.50 = 225,243.38 : x
  2. Step 2: Convert to fraction form
    416,228.63/574,395.50 = 225,243.38/x
  3. Step 3: Cross multiply
    416,228.63x = 574,395.50 × 225,243.38
  4. Step 4: Simplify right side
    416,228.63x = 129,378,785,875.89
  5. Step 5: Solve for x
    x = 129,378,785,875.89/416,228.63
  6. Step 6: Final answer
    x = 310,835.87

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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.