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Finding the Fourth Proportional to 416,547.75, 574,838.64 and 225,561.16

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Solution

The fourth proportional to 416,547.75, 574,838.64 and 225,561.16 is: 311,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,547.75 : 574,838.64 = 225,561.16 : x
  2. Step 2: Convert to fraction form
    416,547.75/574,838.64 = 225,561.16/x
  3. Step 3: Cross multiply
    416,547.75x = 574,838.64 × 225,561.16
  4. Step 4: Simplify right side
    416,547.75x = 129,661,270,451.22
  5. Step 5: Solve for x
    x = 129,661,270,451.22/416,547.75
  6. Step 6: Final answer
    x = 311,275.89

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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.