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Finding the Fourth Proportional to 320,643.04, 442,500.42 and 177,400.76

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Solution

The fourth proportional to 320,643.04, 442,500.42 and 177,400.76 is: 244,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,643.04 : 442,500.42 = 177,400.76 : x
  2. Step 2: Convert to fraction form
    320,643.04/442,500.42 = 177,400.76/x
  3. Step 3: Cross multiply
    320,643.04x = 442,500.42 × 177,400.76
  4. Step 4: Simplify right side
    320,643.04x = 78,499,910,808.32
  5. Step 5: Solve for x
    x = 78,499,910,808.32/320,643.04
  6. Step 6: Final answer
    x = 244,820.25

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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.