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Finding the Fourth Proportional to 294,807.60, 441,919.80 and 117,077.40

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Solution

The fourth proportional to 294,807.60, 441,919.80 and 117,077.40 is: 175,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,807.60 : 441,919.80 = 117,077.40 : x
  2. Step 2: Convert to fraction form
    294,807.60/441,919.80 = 117,077.40/x
  3. Step 3: Cross multiply
    294,807.60x = 441,919.80 × 117,077.40
  4. Step 4: Simplify right side
    294,807.60x = 51,738,821,192.52
  5. Step 5: Solve for x
    x = 51,738,821,192.52/294,807.60
  6. Step 6: Final answer
    x = 175,500.30

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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.