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Finding the Fourth Proportional to 463,449, 695,177.76 and 182,966.25

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Solution

The fourth proportional to 463,449, 695,177.76 and 182,966.25 is: 274,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,449 : 695,177.76 = 182,966.25 : x
  2. Step 2: Convert to fraction form
    463,449/695,177.76 = 182,966.25/x
  3. Step 3: Cross multiply
    463,449x = 695,177.76 × 182,966.25
  4. Step 4: Simplify right side
    463,449x = 127,194,067,830.60
  5. Step 5: Solve for x
    x = 127,194,067,830.60/463,449
  6. Step 6: Final answer
    x = 274,451.06

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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.