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Finding the Fourth Proportional to 314,345.02, 471,233.22 and 114,618.70

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Solution

The fourth proportional to 314,345.02, 471,233.22 and 114,618.70 is: 171,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,345.02 : 471,233.22 = 114,618.70 : x
  2. Step 2: Convert to fraction form
    314,345.02/471,233.22 = 114,618.70/x
  3. Step 3: Cross multiply
    314,345.02x = 471,233.22 × 114,618.70
  4. Step 4: Simplify right side
    314,345.02x = 54,012,139,073.21
  5. Step 5: Solve for x
    x = 54,012,139,073.21/314,345.02
  6. Step 6: Final answer
    x = 171,824.38

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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.