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Finding the Fourth Proportional to 314,297.52, 471,433.50 and 77,634.24

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Solution

The fourth proportional to 314,297.52, 471,433.50 and 77,634.24 is: 116,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,297.52 : 471,433.50 = 77,634.24 : x
  2. Step 2: Convert to fraction form
    314,297.52/471,433.50 = 77,634.24/x
  3. Step 3: Cross multiply
    314,297.52x = 471,433.50 × 77,634.24
  4. Step 4: Simplify right side
    314,297.52x = 36,599,381,483.04
  5. Step 5: Solve for x
    x = 36,599,381,483.04/314,297.52
  6. Step 6: Final answer
    x = 116,448.20

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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.