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Finding the Fourth Proportional to 540,847.35, 811,403.87 and 185,866.47

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Solution

The fourth proportional to 540,847.35, 811,403.87 and 185,866.47 is: 278,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,847.35 : 811,403.87 = 185,866.47 : x
  2. Step 2: Convert to fraction form
    540,847.35/811,403.87 = 185,866.47/x
  3. Step 3: Cross multiply
    540,847.35x = 811,403.87 × 185,866.47
  4. Step 4: Simplify right side
    540,847.35x = 150,812,772,131.91
  5. Step 5: Solve for x
    x = 150,812,772,131.91/540,847.35
  6. Step 6: Final answer
    x = 278,845.36

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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.