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Finding the Fourth Proportional to 295,487.90, 442,972.65 and 177,206.30

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Solution

The fourth proportional to 295,487.90, 442,972.65 and 177,206.30 is: 265,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,487.90 : 442,972.65 = 177,206.30 : x
  2. Step 2: Convert to fraction form
    295,487.90/442,972.65 = 177,206.30/x
  3. Step 3: Cross multiply
    295,487.90x = 442,972.65 × 177,206.30
  4. Step 4: Simplify right side
    295,487.90x = 78,497,544,307.70
  5. Step 5: Solve for x
    x = 78,497,544,307.70/295,487.90
  6. Step 6: Final answer
    x = 265,654.01

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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.