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Finding the Fourth Proportional to 402,627.20, 604,013.70 and 202,443.80

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Solution

The fourth proportional to 402,627.20, 604,013.70 and 202,443.80 is: 303,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,627.20 : 604,013.70 = 202,443.80 : x
  2. Step 2: Convert to fraction form
    402,627.20/604,013.70 = 202,443.80/x
  3. Step 3: Cross multiply
    402,627.20x = 604,013.70 × 202,443.80
  4. Step 4: Simplify right side
    402,627.20x = 122,278,828,680.06
  5. Step 5: Solve for x
    x = 122,278,828,680.06/402,627.20
  6. Step 6: Final answer
    x = 303,702.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.