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Finding the Fourth Proportional to 416,407.77, 574,643.97 and 225,420.71

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Solution

The fourth proportional to 416,407.77, 574,643.97 and 225,420.71 is: 311,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,407.77 : 574,643.97 = 225,420.71 : x
  2. Step 2: Convert to fraction form
    416,407.77/574,643.97 = 225,420.71/x
  3. Step 3: Cross multiply
    416,407.77x = 574,643.97 × 225,420.71
  4. Step 4: Simplify right side
    416,407.77x = 129,536,648,841.40
  5. Step 5: Solve for x
    x = 129,536,648,841.40/416,407.77
  6. Step 6: Final answer
    x = 311,081.25

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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.