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Finding the Fourth Proportional to 520,447, 718,216.88 and 281,983

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Solution

The fourth proportional to 520,447, 718,216.88 and 281,983 is: 389,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,447 : 718,216.88 = 281,983 : x
  2. Step 2: Convert to fraction form
    520,447/718,216.88 = 281,983/x
  3. Step 3: Cross multiply
    520,447x = 718,216.88 × 281,983
  4. Step 4: Simplify right side
    520,447x = 202,524,950,473.04
  5. Step 5: Solve for x
    x = 202,524,950,473.04/520,447
  6. Step 6: Final answer
    x = 389,136.55

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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.