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Finding the Fourth Proportional to 540,695.85, 811,124.41 and 199,113.01

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Solution

The fourth proportional to 540,695.85, 811,124.41 and 199,113.01 is: 298,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,695.85 : 811,124.41 = 199,113.01 : x
  2. Step 2: Convert to fraction form
    540,695.85/811,124.41 = 199,113.01/x
  3. Step 3: Cross multiply
    540,695.85x = 811,124.41 × 199,113.01
  4. Step 4: Simplify right side
    540,695.85x = 161,505,419,746.68
  5. Step 5: Solve for x
    x = 161,505,419,746.68/540,695.85
  6. Step 6: Final answer
    x = 298,699.20

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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.