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Finding the Fourth Proportional to 540,471, 746,024.94 and 339,267

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Solution

The fourth proportional to 540,471, 746,024.94 and 339,267 is: 468,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,471 : 746,024.94 = 339,267 : x
  2. Step 2: Convert to fraction form
    540,471/746,024.94 = 339,267/x
  3. Step 3: Cross multiply
    540,471x = 746,024.94 × 339,267
  4. Step 4: Simplify right side
    540,471x = 253,101,643,318.98
  5. Step 5: Solve for x
    x = 253,101,643,318.98/540,471
  6. Step 6: Final answer
    x = 468,298.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.