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Finding the Fourth Proportional to 463,444.80, 695,278.14 and 193,422.78

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Solution

The fourth proportional to 463,444.80, 695,278.14 and 193,422.78 is: 290,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,444.80 : 695,278.14 = 193,422.78 : x
  2. Step 2: Convert to fraction form
    463,444.80/695,278.14 = 193,422.78/x
  3. Step 3: Cross multiply
    463,444.80x = 695,278.14 × 193,422.78
  4. Step 4: Simplify right side
    463,444.80x = 134,482,630,712.03
  5. Step 5: Solve for x
    x = 134,482,630,712.03/463,444.80
  6. Step 6: Final answer
    x = 290,180.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.