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Finding the Fourth Proportional to 298,259.75, 411,592.34 and 162,296.39

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Solution

The fourth proportional to 298,259.75, 411,592.34 and 162,296.39 is: 223,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,259.75 : 411,592.34 = 162,296.39 : x
  2. Step 2: Convert to fraction form
    298,259.75/411,592.34 = 162,296.39/x
  3. Step 3: Cross multiply
    298,259.75x = 411,592.34 × 162,296.39
  4. Step 4: Simplify right side
    298,259.75x = 66,799,948,875.69
  5. Step 5: Solve for x
    x = 66,799,948,875.69/298,259.75
  6. Step 6: Final answer
    x = 223,965.69

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1.5x scale

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.