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Finding the Fourth Proportional to 517,319.35, 775,752.80 and 260,994.22

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Solution

The fourth proportional to 517,319.35, 775,752.80 and 260,994.22 is: 391,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,319.35 : 775,752.80 = 260,994.22 : x
  2. Step 2: Convert to fraction form
    517,319.35/775,752.80 = 260,994.22/x
  3. Step 3: Cross multiply
    517,319.35x = 775,752.80 × 260,994.22
  4. Step 4: Simplify right side
    517,319.35x = 202,466,995,643.85
  5. Step 5: Solve for x
    x = 202,466,995,643.85/517,319.35
  6. Step 6: Final answer
    x = 391,377.20

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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.