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Finding the Fourth Proportional to 295,278.40, 442,917.60 and 117,812.80

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Solution

The fourth proportional to 295,278.40, 442,917.60 and 117,812.80 is: 176,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,278.40 : 442,917.60 = 117,812.80 : x
  2. Step 2: Convert to fraction form
    295,278.40/442,917.60 = 117,812.80/x
  3. Step 3: Cross multiply
    295,278.40x = 442,917.60 × 117,812.80
  4. Step 4: Simplify right side
    295,278.40x = 52,181,362,625.28
  5. Step 5: Solve for x
    x = 52,181,362,625.28/295,278.40
  6. Step 6: Final answer
    x = 176,719.20

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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.