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Finding the Fourth Proportional to 407,828.80, 611,451.60 and 183,005.20

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Solution

The fourth proportional to 407,828.80, 611,451.60 and 183,005.20 is: 274,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,828.80 : 611,451.60 = 183,005.20 : x
  2. Step 2: Convert to fraction form
    407,828.80/611,451.60 = 183,005.20/x
  3. Step 3: Cross multiply
    407,828.80x = 611,451.60 × 183,005.20
  4. Step 4: Simplify right side
    407,828.80x = 111,898,822,348.32
  5. Step 5: Solve for x
    x = 111,898,822,348.32/407,828.80
  6. Step 6: Final answer
    x = 274,376.95

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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.