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Finding the Fourth Proportional to 465,726.50, 642,702.57 and 253,758.50

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Solution

The fourth proportional to 465,726.50, 642,702.57 and 253,758.50 is: 350,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,726.50 : 642,702.57 = 253,758.50 : x
  2. Step 2: Convert to fraction form
    465,726.50/642,702.57 = 253,758.50/x
  3. Step 3: Cross multiply
    465,726.50x = 642,702.57 × 253,758.50
  4. Step 4: Simplify right side
    465,726.50x = 163,091,240,109.35
  5. Step 5: Solve for x
    x = 163,091,240,109.35/465,726.50
  6. Step 6: Final answer
    x = 350,186.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.