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Finding the Fourth Proportional to 284,801.83, 393,026.62 and 162,290.70

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Solution

The fourth proportional to 284,801.83, 393,026.62 and 162,290.70 is: 223,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,801.83 : 393,026.62 = 162,290.70 : x
  2. Step 2: Convert to fraction form
    284,801.83/393,026.62 = 162,290.70/x
  3. Step 3: Cross multiply
    284,801.83x = 393,026.62 × 162,290.70
  4. Step 4: Simplify right side
    284,801.83x = 63,784,565,278.43
  5. Step 5: Solve for x
    x = 63,784,565,278.43/284,801.83
  6. Step 6: Final answer
    x = 223,961.22

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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.