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Finding the Fourth Proportional to 370,058.56, 510,685.14 and 217,099.38

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Solution

The fourth proportional to 370,058.56, 510,685.14 and 217,099.38 is: 299,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,058.56 : 510,685.14 = 217,099.38 : x
  2. Step 2: Convert to fraction form
    370,058.56/510,685.14 = 217,099.38/x
  3. Step 3: Cross multiply
    370,058.56x = 510,685.14 × 217,099.38
  4. Step 4: Simplify right side
    370,058.56x = 110,869,427,269.21
  5. Step 5: Solve for x
    x = 110,869,427,269.21/370,058.56
  6. Step 6: Final answer
    x = 299,599.68

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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.