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Finding the Fourth Proportional to 298,010.48, 411,248.64 and 162,043.24

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Solution

The fourth proportional to 298,010.48, 411,248.64 and 162,043.24 is: 223,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,010.48 : 411,248.64 = 162,043.24 : x
  2. Step 2: Convert to fraction form
    298,010.48/411,248.64 = 162,043.24/x
  3. Step 3: Cross multiply
    298,010.48x = 411,248.64 × 162,043.24
  4. Step 4: Simplify right side
    298,010.48x = 66,640,062,071.19
  5. Step 5: Solve for x
    x = 66,640,062,071.19/298,010.48
  6. Step 6: Final answer
    x = 223,616.51

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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.