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Finding the Fourth Proportional to 416,547.16, 574,834.26 and 225,559.96

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Solution

The fourth proportional to 416,547.16, 574,834.26 and 225,559.96 is: 311,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,547.16 : 574,834.26 = 225,559.96 : x
  2. Step 2: Convert to fraction form
    416,547.16/574,834.26 = 225,559.96/x
  3. Step 3: Cross multiply
    416,547.16x = 574,834.26 × 225,559.96
  4. Step 4: Simplify right side
    416,547.16x = 129,659,592,692.23
  5. Step 5: Solve for x
    x = 129,659,592,692.23/416,547.16
  6. Step 6: Final answer
    x = 311,272.30

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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.