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Finding the Fourth Proportional to 408,602.31, 564,148.97 and 255,702.31

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Solution

The fourth proportional to 408,602.31, 564,148.97 and 255,702.31 is: 353,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,602.31 : 564,148.97 = 255,702.31 : x
  2. Step 2: Convert to fraction form
    408,602.31/564,148.97 = 255,702.31/x
  3. Step 3: Cross multiply
    408,602.31x = 564,148.97 × 255,702.31
  4. Step 4: Simplify right side
    408,602.31x = 144,254,194,813.12
  5. Step 5: Solve for x
    x = 144,254,194,813.12/408,602.31
  6. Step 6: Final answer
    x = 353,043.02

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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.