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Finding the Fourth Proportional to 295,467.80, 442,913.70 and 168,978.20

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Solution

The fourth proportional to 295,467.80, 442,913.70 and 168,978.20 is: 253,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,467.80 : 442,913.70 = 168,978.20 : x
  2. Step 2: Convert to fraction form
    295,467.80/442,913.70 = 168,978.20/x
  3. Step 3: Cross multiply
    295,467.80x = 442,913.70 × 168,978.20
  4. Step 4: Simplify right side
    295,467.80x = 74,842,759,781.34
  5. Step 5: Solve for x
    x = 74,842,759,781.34/295,467.80
  6. Step 6: Final answer
    x = 253,302.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.