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Finding the Fourth Proportional to 295,314.20, 442,971.30 and 176,924.60

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Solution

The fourth proportional to 295,314.20, 442,971.30 and 176,924.60 is: 265,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,314.20 : 442,971.30 = 176,924.60 : x
  2. Step 2: Convert to fraction form
    295,314.20/442,971.30 = 176,924.60/x
  3. Step 3: Cross multiply
    295,314.20x = 442,971.30 × 176,924.60
  4. Step 4: Simplify right side
    295,314.20x = 78,372,520,063.98
  5. Step 5: Solve for x
    x = 78,372,520,063.98/295,314.20
  6. Step 6: Final answer
    x = 265,386.90

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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.