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Finding the Fourth Proportional to 306,807.20, 460,022.88 and 119,600

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Solution

The fourth proportional to 306,807.20, 460,022.88 and 119,600 is: 179,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,807.20 : 460,022.88 = 119,600 : x
  2. Step 2: Convert to fraction form
    306,807.20/460,022.88 = 119,600/x
  3. Step 3: Cross multiply
    306,807.20x = 460,022.88 × 119,600
  4. Step 4: Simplify right side
    306,807.20x = 55,018,736,448
  5. Step 5: Solve for x
    x = 55,018,736,448/306,807.20
  6. Step 6: Final answer
    x = 179,326.74

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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.