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Finding the Fourth Proportional to 371,924.44, 513,256.44 and 202,158.16

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Solution

The fourth proportional to 371,924.44, 513,256.44 and 202,158.16 is: 278,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,924.44 : 513,256.44 = 202,158.16 : x
  2. Step 2: Convert to fraction form
    371,924.44/513,256.44 = 202,158.16/x
  3. Step 3: Cross multiply
    371,924.44x = 513,256.44 × 202,158.16
  4. Step 4: Simplify right side
    371,924.44x = 103,758,977,518.55
  5. Step 5: Solve for x
    x = 103,758,977,518.55/371,924.44
  6. Step 6: Final answer
    x = 278,978.65

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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.