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Finding the Fourth Proportional to 316,402.49, 474,667.22 and 116,723.93

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Solution

The fourth proportional to 316,402.49, 474,667.22 and 116,723.93 is: 175,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,402.49 : 474,667.22 = 116,723.93 : x
  2. Step 2: Convert to fraction form
    316,402.49/474,667.22 = 116,723.93/x
  3. Step 3: Cross multiply
    316,402.49x = 474,667.22 × 116,723.93
  4. Step 4: Simplify right side
    316,402.49x = 55,405,021,279.05
  5. Step 5: Solve for x
    x = 55,405,021,279.05/316,402.49
  6. Step 6: Final answer
    x = 175,109.31

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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.