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Finding the Fourth Proportional to 501,685.38, 692,339.40 and 283,878

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Solution

The fourth proportional to 501,685.38, 692,339.40 and 283,878 is: 391,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,685.38 : 692,339.40 = 283,878 : x
  2. Step 2: Convert to fraction form
    501,685.38/692,339.40 = 283,878/x
  3. Step 3: Cross multiply
    501,685.38x = 692,339.40 × 283,878
  4. Step 4: Simplify right side
    501,685.38x = 196,539,924,193.20
  5. Step 5: Solve for x
    x = 196,539,924,193.20/501,685.38
  6. Step 6: Final answer
    x = 391,759.32

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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.