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Finding the Fourth Proportional to 834,214.08, 1,251,633.84 and 385,150.08

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Solution

The fourth proportional to 834,214.08, 1,251,633.84 and 385,150.08 is: 577,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,214.08 : 1,251,633.84 = 385,150.08 : x
  2. Step 2: Convert to fraction form
    834,214.08/1,251,633.84 = 385,150.08/x
  3. Step 3: Cross multiply
    834,214.08x = 1,251,633.84 × 385,150.08
  4. Step 4: Simplify right side
    834,214.08x = 482,066,873,606.71
  5. Step 5: Solve for x
    x = 482,066,873,606.71/834,214.08
  6. Step 6: Final answer
    x = 577,869.50

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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.