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Finding the Fourth Proportional to 412,335.48, 617,258.16 and 372,911.16

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Solution

The fourth proportional to 412,335.48, 617,258.16 and 372,911.16 is: 558,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,335.48 : 617,258.16 = 372,911.16 : x
  2. Step 2: Convert to fraction form
    412,335.48/617,258.16 = 372,911.16/x
  3. Step 3: Cross multiply
    412,335.48x = 617,258.16 × 372,911.16
  4. Step 4: Simplify right side
    412,335.48x = 230,182,456,465.07
  5. Step 5: Solve for x
    x = 230,182,456,465.07/412,335.48
  6. Step 6: Final answer
    x = 558,240.72

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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.