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Finding the Fourth Proportional to 520,191.84, 715,107.12 and 447,327.48

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Solution

The fourth proportional to 520,191.84, 715,107.12 and 447,327.48 is: 614,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,191.84 : 715,107.12 = 447,327.48 : x
  2. Step 2: Convert to fraction form
    520,191.84/715,107.12 = 447,327.48/x
  3. Step 3: Cross multiply
    520,191.84x = 715,107.12 × 447,327.48
  4. Step 4: Simplify right side
    520,191.84x = 319,887,065,919.66
  5. Step 5: Solve for x
    x = 319,887,065,919.66/520,191.84
  6. Step 6: Final answer
    x = 614,940.57

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.