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Finding the Fourth Proportional to 416,643.95, 574,968.68 and 225,657.36

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Solution

The fourth proportional to 416,643.95, 574,968.68 and 225,657.36 is: 311,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,643.95 : 574,968.68 = 225,657.36 : x
  2. Step 2: Convert to fraction form
    416,643.95/574,968.68 = 225,657.36/x
  3. Step 3: Cross multiply
    416,643.95x = 574,968.68 × 225,657.36
  4. Step 4: Simplify right side
    416,643.95x = 129,745,914,129.41
  5. Step 5: Solve for x
    x = 129,745,914,129.41/416,643.95
  6. Step 6: Final answer
    x = 311,407.17

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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.