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Finding the Fourth Proportional to 381,615.36, 572,462.24 and 101,132.64

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Solution

The fourth proportional to 381,615.36, 572,462.24 and 101,132.64 is: 151,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,615.36 : 572,462.24 = 101,132.64 : x
  2. Step 2: Convert to fraction form
    381,615.36/572,462.24 = 101,132.64/x
  3. Step 3: Cross multiply
    381,615.36x = 572,462.24 × 101,132.64
  4. Step 4: Simplify right side
    381,615.36x = 57,894,617,631.51
  5. Step 5: Solve for x
    x = 57,894,617,631.51/381,615.36
  6. Step 6: Final answer
    x = 151,709.35

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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.