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Finding the Fourth Proportional to 405,876.40, 607,648.20 and 248,412.40

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Solution

The fourth proportional to 405,876.40, 607,648.20 and 248,412.40 is: 371,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,876.40 : 607,648.20 = 248,412.40 : x
  2. Step 2: Convert to fraction form
    405,876.40/607,648.20 = 248,412.40/x
  3. Step 3: Cross multiply
    405,876.40x = 607,648.20 × 248,412.40
  4. Step 4: Simplify right side
    405,876.40x = 150,947,347,717.68
  5. Step 5: Solve for x
    x = 150,947,347,717.68/405,876.40
  6. Step 6: Final answer
    x = 371,904.72

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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.