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Finding the Fourth Proportional to 232,427.40, 320,753.70 and 130,475.40

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Solution

The fourth proportional to 232,427.40, 320,753.70 and 130,475.40 is: 180,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,427.40 : 320,753.70 = 130,475.40 : x
  2. Step 2: Convert to fraction form
    232,427.40/320,753.70 = 130,475.40/x
  3. Step 3: Cross multiply
    232,427.40x = 320,753.70 × 130,475.40
  4. Step 4: Simplify right side
    232,427.40x = 41,850,467,308.98
  5. Step 5: Solve for x
    x = 41,850,467,308.98/232,427.40
  6. Step 6: Final answer
    x = 180,058.23

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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.