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Finding the Fourth Proportional to 524,441.60, 786,856.80 and 209,124.80

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Solution

The fourth proportional to 524,441.60, 786,856.80 and 209,124.80 is: 313,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,441.60 : 786,856.80 = 209,124.80 : x
  2. Step 2: Convert to fraction form
    524,441.60/786,856.80 = 209,124.80/x
  3. Step 3: Cross multiply
    524,441.60x = 786,856.80 × 209,124.80
  4. Step 4: Simplify right side
    524,441.60x = 164,551,270,928.64
  5. Step 5: Solve for x
    x = 164,551,270,928.64/524,441.60
  6. Step 6: Final answer
    x = 313,764.72

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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.