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Finding the Fourth Proportional to 343,076.91, 514,616.57 and 242,934.18

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Solution

The fourth proportional to 343,076.91, 514,616.57 and 242,934.18 is: 364,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,076.91 : 514,616.57 = 242,934.18 : x
  2. Step 2: Convert to fraction form
    343,076.91/514,616.57 = 242,934.18/x
  3. Step 3: Cross multiply
    343,076.91x = 514,616.57 × 242,934.18
  4. Step 4: Simplify right side
    343,076.91x = 125,017,954,447.36
  5. Step 5: Solve for x
    x = 125,017,954,447.36/343,076.91
  6. Step 6: Final answer
    x = 364,402.12

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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.