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Finding the Fourth Proportional to 633,638.48, 950,459.76 and 160,323.80

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Solution

The fourth proportional to 633,638.48, 950,459.76 and 160,323.80 is: 240,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,638.48 : 950,459.76 = 160,323.80 : x
  2. Step 2: Convert to fraction form
    633,638.48/950,459.76 = 160,323.80/x
  3. Step 3: Cross multiply
    633,638.48x = 950,459.76 × 160,323.80
  4. Step 4: Simplify right side
    633,638.48x = 152,381,320,470.29
  5. Step 5: Solve for x
    x = 152,381,320,470.29/633,638.48
  6. Step 6: Final answer
    x = 240,486.22

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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.