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Finding the Fourth Proportional to 416,858.16, 575,264.77 and 225,871.40

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Solution

The fourth proportional to 416,858.16, 575,264.77 and 225,871.40 is: 311,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,858.16 : 575,264.77 = 225,871.40 : x
  2. Step 2: Convert to fraction form
    416,858.16/575,264.77 = 225,871.40/x
  3. Step 3: Cross multiply
    416,858.16x = 575,264.77 × 225,871.40
  4. Step 4: Simplify right side
    416,858.16x = 129,935,858,970.58
  5. Step 5: Solve for x
    x = 129,935,858,970.58/416,858.16
  6. Step 6: Final answer
    x = 311,702.81

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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.