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Finding the Fourth Proportional to 345,479.95, 517,049.47 and 212,444.47

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Solution

The fourth proportional to 345,479.95, 517,049.47 and 212,444.47 is: 317,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,479.95 : 517,049.47 = 212,444.47 : x
  2. Step 2: Convert to fraction form
    345,479.95/517,049.47 = 212,444.47/x
  3. Step 3: Cross multiply
    345,479.95x = 517,049.47 × 212,444.47
  4. Step 4: Simplify right side
    345,479.95x = 109,844,300,617.93
  5. Step 5: Solve for x
    x = 109,844,300,617.93/345,479.95
  6. Step 6: Final answer
    x = 317,946.96

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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.