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Finding the Fourth Proportional to 314,227.47, 471,415.04 and 103,865.42

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Solution

The fourth proportional to 314,227.47, 471,415.04 and 103,865.42 is: 155,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,227.47 : 471,415.04 = 103,865.42 : x
  2. Step 2: Convert to fraction form
    314,227.47/471,415.04 = 103,865.42/x
  3. Step 3: Cross multiply
    314,227.47x = 471,415.04 × 103,865.42
  4. Step 4: Simplify right side
    314,227.47x = 48,963,718,247.51
  5. Step 5: Solve for x
    x = 48,963,718,247.51/314,227.47
  6. Step 6: Final answer
    x = 155,822.53

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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.