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Finding the Fourth Proportional to 423,403, 635,104.50 and 127,915

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Solution

The fourth proportional to 423,403, 635,104.50 and 127,915 is: 191,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,403 : 635,104.50 = 127,915 : x
  2. Step 2: Convert to fraction form
    423,403/635,104.50 = 127,915/x
  3. Step 3: Cross multiply
    423,403x = 635,104.50 × 127,915
  4. Step 4: Simplify right side
    423,403x = 81,239,392,117.50
  5. Step 5: Solve for x
    x = 81,239,392,117.50/423,403
  6. Step 6: Final answer
    x = 191,872.50

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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.