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Finding the Fourth Proportional to 559,711.29, 772,401.84 and 317,994.27

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Solution

The fourth proportional to 559,711.29, 772,401.84 and 317,994.27 is: 438,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,711.29 : 772,401.84 = 317,994.27 : x
  2. Step 2: Convert to fraction form
    559,711.29/772,401.84 = 317,994.27/x
  3. Step 3: Cross multiply
    559,711.29x = 772,401.84 × 317,994.27
  4. Step 4: Simplify right side
    559,711.29x = 245,619,359,257.46
  5. Step 5: Solve for x
    x = 245,619,359,257.46/559,711.29
  6. Step 6: Final answer
    x = 438,832.24

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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.