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Finding the Fourth Proportional to 541,398.80, 811,602.84 and 208,724.24

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Solution

The fourth proportional to 541,398.80, 811,602.84 and 208,724.24 is: 312,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,398.80 : 811,602.84 = 208,724.24 : x
  2. Step 2: Convert to fraction form
    541,398.80/811,602.84 = 208,724.24/x
  3. Step 3: Cross multiply
    541,398.80x = 811,602.84 × 208,724.24
  4. Step 4: Simplify right side
    541,398.80x = 169,401,185,960.84
  5. Step 5: Solve for x
    x = 169,401,185,960.84/541,398.80
  6. Step 6: Final answer
    x = 312,895.38

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1.5x scale

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.