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Finding the Fourth Proportional to 540,864.42, 811,340.37 and 185,878.68

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Solution

The fourth proportional to 540,864.42, 811,340.37 and 185,878.68 is: 278,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,864.42 : 811,340.37 = 185,878.68 : x
  2. Step 2: Convert to fraction form
    540,864.42/811,340.37 = 185,878.68/x
  3. Step 3: Cross multiply
    540,864.42x = 811,340.37 × 185,878.68
  4. Step 4: Simplify right side
    540,864.42x = 150,810,877,006.31
  5. Step 5: Solve for x
    x = 150,810,877,006.31/540,864.42
  6. Step 6: Final answer
    x = 278,833.05

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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.