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Finding the Fourth Proportional to 343,959.12, 474,671.88 and 193,070.16

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Solution

The fourth proportional to 343,959.12, 474,671.88 and 193,070.16 is: 266,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,959.12 : 474,671.88 = 193,070.16 : x
  2. Step 2: Convert to fraction form
    343,959.12/474,671.88 = 193,070.16/x
  3. Step 3: Cross multiply
    343,959.12x = 474,671.88 × 193,070.16
  4. Step 4: Simplify right side
    343,959.12x = 91,644,975,819.10
  5. Step 5: Solve for x
    x = 91,644,975,819.10/343,959.12
  6. Step 6: Final answer
    x = 266,441.48

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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.