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Finding the Fourth Proportional to 295,643.28, 408,060.64 and 168,394.08

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Solution

The fourth proportional to 295,643.28, 408,060.64 and 168,394.08 is: 232,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,643.28 : 408,060.64 = 168,394.08 : x
  2. Step 2: Convert to fraction form
    295,643.28/408,060.64 = 168,394.08/x
  3. Step 3: Cross multiply
    295,643.28x = 408,060.64 × 168,394.08
  4. Step 4: Simplify right side
    295,643.28x = 68,714,996,057.01
  5. Step 5: Solve for x
    x = 68,714,996,057.01/295,643.28
  6. Step 6: Final answer
    x = 232,425.36

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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.