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Finding the Fourth Proportional to 232,301.82, 320,458.46 and 151,776.48

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Solution

The fourth proportional to 232,301.82, 320,458.46 and 151,776.48 is: 209,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,301.82 : 320,458.46 = 151,776.48 : x
  2. Step 2: Convert to fraction form
    232,301.82/320,458.46 = 151,776.48/x
  3. Step 3: Cross multiply
    232,301.82x = 320,458.46 × 151,776.48
  4. Step 4: Simplify right side
    232,301.82x = 48,638,057,045.02
  5. Step 5: Solve for x
    x = 48,638,057,045.02/232,301.82
  6. Step 6: Final answer
    x = 209,374.41

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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.