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Finding the Fourth Proportional to 402,264.63, 603,651.49 and 224,888.00

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Solution

The fourth proportional to 402,264.63, 603,651.49 and 224,888.00 is: 337,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,264.63 : 603,651.49 = 224,888.00 : x
  2. Step 2: Convert to fraction form
    402,264.63/603,651.49 = 224,888.00/x
  3. Step 3: Cross multiply
    402,264.63x = 603,651.49 × 224,888.00
  4. Step 4: Simplify right side
    402,264.63x = 135,753,972,702.64
  5. Step 5: Solve for x
    x = 135,753,972,702.64/402,264.63
  6. Step 6: Final answer
    x = 337,474.30

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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.