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Finding the Fourth Proportional to 516,076.68, 772,727.49 and 420,914.25

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Solution

The fourth proportional to 516,076.68, 772,727.49 and 420,914.25 is: 630,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,076.68 : 772,727.49 = 420,914.25 : x
  2. Step 2: Convert to fraction form
    516,076.68/772,727.49 = 420,914.25/x
  3. Step 3: Cross multiply
    516,076.68x = 772,727.49 × 420,914.25
  4. Step 4: Simplify right side
    516,076.68x = 325,252,011,907.73
  5. Step 5: Solve for x
    x = 325,252,011,907.73/516,076.68
  6. Step 6: Final answer
    x = 630,239.70

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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.