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Finding the Fourth Proportional to 723,904.01, 998,164.45 and 461,906.88

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Solution

The fourth proportional to 723,904.01, 998,164.45 and 461,906.88 is: 636,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,904.01 : 998,164.45 = 461,906.88 : x
  2. Step 2: Convert to fraction form
    723,904.01/998,164.45 = 461,906.88/x
  3. Step 3: Cross multiply
    723,904.01x = 998,164.45 × 461,906.88
  4. Step 4: Simplify right side
    723,904.01x = 461,059,027,543.21
  5. Step 5: Solve for x
    x = 461,059,027,543.21/723,904.01
  6. Step 6: Final answer
    x = 636,906.30

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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.