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Finding the Fourth Proportional to 541,206.49, 746,853.78 and 299,488.90

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Solution

The fourth proportional to 541,206.49, 746,853.78 and 299,488.90 is: 413,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,206.49 : 746,853.78 = 299,488.90 : x
  2. Step 2: Convert to fraction form
    541,206.49/746,853.78 = 299,488.90/x
  3. Step 3: Cross multiply
    541,206.49x = 746,853.78 × 299,488.90
  4. Step 4: Simplify right side
    541,206.49x = 223,674,417,033.04
  5. Step 5: Solve for x
    x = 223,674,417,033.04/541,206.49
  6. Step 6: Final answer
    x = 413,288.50

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1.5x scale

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.