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Finding the Fourth Proportional to 349,812.68, 523,878.14 and 199,597.56

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Solution

The fourth proportional to 349,812.68, 523,878.14 and 199,597.56 is: 298,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,812.68 : 523,878.14 = 199,597.56 : x
  2. Step 2: Convert to fraction form
    349,812.68/523,878.14 = 199,597.56/x
  3. Step 3: Cross multiply
    349,812.68x = 523,878.14 × 199,597.56
  4. Step 4: Simplify right side
    349,812.68x = 104,564,797,483.35
  5. Step 5: Solve for x
    x = 104,564,797,483.35/349,812.68
  6. Step 6: Final answer
    x = 298,916.55

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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.