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Finding the Fourth Proportional to 265,824.80, 398,807.60 and 116,000.80

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Solution

The fourth proportional to 265,824.80, 398,807.60 and 116,000.80 is: 174,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,824.80 : 398,807.60 = 116,000.80 : x
  2. Step 2: Convert to fraction form
    265,824.80/398,807.60 = 116,000.80/x
  3. Step 3: Cross multiply
    265,824.80x = 398,807.60 × 116,000.80
  4. Step 4: Simplify right side
    265,824.80x = 46,262,000,646.08
  5. Step 5: Solve for x
    x = 46,262,000,646.08/265,824.80
  6. Step 6: Final answer
    x = 174,031.92

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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.