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Finding the Fourth Proportional to 616,852.80, 925,624.80 and 261,806.40

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Solution

The fourth proportional to 616,852.80, 925,624.80 and 261,806.40 is: 392,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,852.80 : 925,624.80 = 261,806.40 : x
  2. Step 2: Convert to fraction form
    616,852.80/925,624.80 = 261,806.40/x
  3. Step 3: Cross multiply
    616,852.80x = 925,624.80 × 261,806.40
  4. Step 4: Simplify right side
    616,852.80x = 242,334,496,638.72
  5. Step 5: Solve for x
    x = 242,334,496,638.72/616,852.80
  6. Step 6: Final answer
    x = 392,856.28

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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.