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Finding the Fourth Proportional to 416,702.30, 575,048.63 and 225,716.45

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Solution

The fourth proportional to 416,702.30, 575,048.63 and 225,716.45 is: 311,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,702.30 : 575,048.63 = 225,716.45 : x
  2. Step 2: Convert to fraction form
    416,702.30/575,048.63 = 225,716.45/x
  3. Step 3: Cross multiply
    416,702.30x = 575,048.63 × 225,716.45
  4. Step 4: Simplify right side
    416,702.30x = 129,797,931,337.14
  5. Step 5: Solve for x
    x = 129,797,931,337.14/416,702.30
  6. Step 6: Final answer
    x = 311,488.40

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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.