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Finding the Fourth Proportional to 416,433.06, 574,678.94 and 225,447.21

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Solution

The fourth proportional to 416,433.06, 574,678.94 and 225,447.21 is: 311,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,433.06 : 574,678.94 = 225,447.21 : x
  2. Step 2: Convert to fraction form
    416,433.06/574,678.94 = 225,447.21/x
  3. Step 3: Cross multiply
    416,433.06x = 574,678.94 × 225,447.21
  4. Step 4: Simplify right side
    416,433.06x = 129,559,762,541.52
  5. Step 5: Solve for x
    x = 129,559,762,541.52/416,433.06
  6. Step 6: Final answer
    x = 311,117.86

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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.