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Finding the Fourth Proportional to 232,438.24, 320,751.28 and 130,454.24

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Solution

The fourth proportional to 232,438.24, 320,751.28 and 130,454.24 is: 180,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,438.24 : 320,751.28 = 130,454.24 : x
  2. Step 2: Convert to fraction form
    232,438.24/320,751.28 = 130,454.24/x
  3. Step 3: Cross multiply
    232,438.24x = 320,751.28 × 130,454.24
  4. Step 4: Simplify right side
    232,438.24x = 41,843,364,461.43
  5. Step 5: Solve for x
    x = 41,843,364,461.43/232,438.24
  6. Step 6: Final answer
    x = 180,019.28

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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.