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Finding the Fourth Proportional to 312,416.01, 468,623.88 and 75,758.65

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Solution

The fourth proportional to 312,416.01, 468,623.88 and 75,758.65 is: 113,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,416.01 : 468,623.88 = 75,758.65 : x
  2. Step 2: Convert to fraction form
    312,416.01/468,623.88 = 75,758.65/x
  3. Step 3: Cross multiply
    312,416.01x = 468,623.88 × 75,758.65
  4. Step 4: Simplify right side
    312,416.01x = 35,502,311,335.00
  5. Step 5: Solve for x
    x = 35,502,311,335.00/312,416.01
  6. Step 6: Final answer
    x = 113,637.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.