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Finding the Fourth Proportional to 416,713.96, 575,068.02 and 225,727.35

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Solution

The fourth proportional to 416,713.96, 575,068.02 and 225,727.35 is: 311,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,713.96 : 575,068.02 = 225,727.35 : x
  2. Step 2: Convert to fraction form
    416,713.96/575,068.02 = 225,727.35/x
  3. Step 3: Cross multiply
    416,713.96x = 575,068.02 × 225,727.35
  4. Step 4: Simplify right side
    416,713.96x = 129,808,577,349.01
  5. Step 5: Solve for x
    x = 129,808,577,349.01/416,713.96
  6. Step 6: Final answer
    x = 311,505.23

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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.