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Finding the Fourth Proportional to 343,114.62, 514,102.83 and 242,777.46

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Solution

The fourth proportional to 343,114.62, 514,102.83 and 242,777.46 is: 363,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,114.62 : 514,102.83 = 242,777.46 : x
  2. Step 2: Convert to fraction form
    343,114.62/514,102.83 = 242,777.46/x
  3. Step 3: Cross multiply
    343,114.62x = 514,102.83 × 242,777.46
  4. Step 4: Simplify right side
    343,114.62x = 124,812,579,246.21
  5. Step 5: Solve for x
    x = 124,812,579,246.21/343,114.62
  6. Step 6: Final answer
    x = 363,763.51

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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.