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Finding the Fourth Proportional to 320,471.30, 442,232.39 and 175,248.26

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Solution

The fourth proportional to 320,471.30, 442,232.39 and 175,248.26 is: 241,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,471.30 : 442,232.39 = 175,248.26 : x
  2. Step 2: Convert to fraction form
    320,471.30/442,232.39 = 175,248.26/x
  3. Step 3: Cross multiply
    320,471.30x = 442,232.39 × 175,248.26
  4. Step 4: Simplify right side
    320,471.30x = 77,500,453,775.74
  5. Step 5: Solve for x
    x = 77,500,453,775.74/320,471.30
  6. Step 6: Final answer
    x = 241,832.75

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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.