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Finding the Fourth Proportional to 312,723.67, 469,085.51 and 76,066.51

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Solution

The fourth proportional to 312,723.67, 469,085.51 and 76,066.51 is: 114,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,723.67 : 469,085.51 = 76,066.51 : x
  2. Step 2: Convert to fraction form
    312,723.67/469,085.51 = 76,066.51/x
  3. Step 3: Cross multiply
    312,723.67x = 469,085.51 × 76,066.51
  4. Step 4: Simplify right side
    312,723.67x = 35,681,697,637.27
  5. Step 5: Solve for x
    x = 35,681,697,637.27/312,723.67
  6. Step 6: Final answer
    x = 114,099.77

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1.5x scale

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.