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Finding the Fourth Proportional to 295,643.64, 408,020.64 and 168,298.68

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Solution

The fourth proportional to 295,643.64, 408,020.64 and 168,298.68 is: 232,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,643.64 : 408,020.64 = 168,298.68 : x
  2. Step 2: Convert to fraction form
    295,643.64/408,020.64 = 168,298.68/x
  3. Step 3: Cross multiply
    295,643.64x = 408,020.64 × 168,298.68
  4. Step 4: Simplify right side
    295,643.64x = 68,669,335,124.76
  5. Step 5: Solve for x
    x = 68,669,335,124.76/295,643.64
  6. Step 6: Final answer
    x = 232,270.63

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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.