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Finding the Fourth Proportional to 319,530.20, 478,712.10 and 260,043.80

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Solution

The fourth proportional to 319,530.20, 478,712.10 and 260,043.80 is: 389,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,530.20 : 478,712.10 = 260,043.80 : x
  2. Step 2: Convert to fraction form
    319,530.20/478,712.10 = 260,043.80/x
  3. Step 3: Cross multiply
    319,530.20x = 478,712.10 × 260,043.80
  4. Step 4: Simplify right side
    319,530.20x = 124,486,113,589.98
  5. Step 5: Solve for x
    x = 124,486,113,589.98/319,530.20
  6. Step 6: Final answer
    x = 389,591.07

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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.