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Finding the Fourth Proportional to 514,118.82, 769,849.83 and 354,686.52

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Solution

The fourth proportional to 514,118.82, 769,849.83 and 354,686.52 is: 531,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,118.82 : 769,849.83 = 354,686.52 : x
  2. Step 2: Convert to fraction form
    514,118.82/769,849.83 = 354,686.52/x
  3. Step 3: Cross multiply
    514,118.82x = 769,849.83 × 354,686.52
  4. Step 4: Simplify right side
    514,118.82x = 273,055,357,125.29
  5. Step 5: Solve for x
    x = 273,055,357,125.29/514,118.82
  6. Step 6: Final answer
    x = 531,113.33

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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.