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Finding the Fourth Proportional to 232,417.64, 320,722.86 and 130,433.58

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Solution

The fourth proportional to 232,417.64, 320,722.86 and 130,433.58 is: 179,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,417.64 : 320,722.86 = 130,433.58 : x
  2. Step 2: Convert to fraction form
    232,417.64/320,722.86 = 130,433.58/x
  3. Step 3: Cross multiply
    232,417.64x = 320,722.86 × 130,433.58
  4. Step 4: Simplify right side
    232,417.64x = 41,833,030,817.64
  5. Step 5: Solve for x
    x = 41,833,030,817.64/232,417.64
  6. Step 6: Final answer
    x = 179,990.77

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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.