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Finding the Fourth Proportional to 295,470.40, 442,946.40 and 177,188.80

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Solution

The fourth proportional to 295,470.40, 442,946.40 and 177,188.80 is: 265,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,470.40 : 442,946.40 = 177,188.80 : x
  2. Step 2: Convert to fraction form
    295,470.40/442,946.40 = 177,188.80/x
  3. Step 3: Cross multiply
    295,470.40x = 442,946.40 × 177,188.80
  4. Step 4: Simplify right side
    295,470.40x = 78,485,141,080.32
  5. Step 5: Solve for x
    x = 78,485,141,080.32/295,470.40
  6. Step 6: Final answer
    x = 265,627.76

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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.