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Finding the Fourth Proportional to 412,272.48, 617,163.84 and 372,848.16

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Solution

The fourth proportional to 412,272.48, 617,163.84 and 372,848.16 is: 558,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,272.48 : 617,163.84 = 372,848.16 : x
  2. Step 2: Convert to fraction form
    412,272.48/617,163.84 = 372,848.16/x
  3. Step 3: Cross multiply
    412,272.48x = 617,163.84 × 372,848.16
  4. Step 4: Simplify right side
    412,272.48x = 230,108,402,162.53
  5. Step 5: Solve for x
    x = 230,108,402,162.53/412,272.48
  6. Step 6: Final answer
    x = 558,146.40

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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.