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Finding the Fourth Proportional to 315,383.40, 473,150.70 and 105,023.24

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Solution

The fourth proportional to 315,383.40, 473,150.70 and 105,023.24 is: 157,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,383.40 : 473,150.70 = 105,023.24 : x
  2. Step 2: Convert to fraction form
    315,383.40/473,150.70 = 105,023.24/x
  3. Step 3: Cross multiply
    315,383.40x = 473,150.70 × 105,023.24
  4. Step 4: Simplify right side
    315,383.40x = 49,691,819,522.27
  5. Step 5: Solve for x
    x = 49,691,819,522.27/315,383.40
  6. Step 6: Final answer
    x = 157,560.03

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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.