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Finding the Fourth Proportional to 312,967.17, 469,332.90 and 113,238.18

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Solution

The fourth proportional to 312,967.17, 469,332.90 and 113,238.18 is: 169,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,967.17 : 469,332.90 = 113,238.18 : x
  2. Step 2: Convert to fraction form
    312,967.17/469,332.90 = 113,238.18/x
  3. Step 3: Cross multiply
    312,967.17x = 469,332.90 × 113,238.18
  4. Step 4: Simplify right side
    312,967.17x = 53,146,403,410.12
  5. Step 5: Solve for x
    x = 53,146,403,410.12/312,967.17
  6. Step 6: Final answer
    x = 169,814.63

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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.