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Finding the Fourth Proportional to 314,448.57, 471,746.66 and 104,086.50

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Solution

The fourth proportional to 314,448.57, 471,746.66 and 104,086.50 is: 156,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,448.57 : 471,746.66 = 104,086.50 : x
  2. Step 2: Convert to fraction form
    314,448.57/471,746.66 = 104,086.50/x
  3. Step 3: Cross multiply
    314,448.57x = 471,746.66 × 104,086.50
  4. Step 4: Simplify right side
    314,448.57x = 49,102,458,726.09
  5. Step 5: Solve for x
    x = 49,102,458,726.09/314,448.57
  6. Step 6: Final answer
    x = 156,154.18

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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.