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Finding the Fourth Proportional to 407,482.50, 611,085.32 and 141,180.84

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Solution

The fourth proportional to 407,482.50, 611,085.32 and 141,180.84 is: 211,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,482.50 : 611,085.32 = 141,180.84 : x
  2. Step 2: Convert to fraction form
    407,482.50/611,085.32 = 141,180.84/x
  3. Step 3: Cross multiply
    407,482.50x = 611,085.32 × 141,180.84
  4. Step 4: Simplify right side
    407,482.50x = 86,273,538,789.27
  5. Step 5: Solve for x
    x = 86,273,538,789.27/407,482.50
  6. Step 6: Final answer
    x = 211,723.30

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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.