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Finding the Fourth Proportional to 259,404.80, 388,492.80 and 175,846.40

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Solution

The fourth proportional to 259,404.80, 388,492.80 and 175,846.40 is: 263,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,404.80 : 388,492.80 = 175,846.40 : x
  2. Step 2: Convert to fraction form
    259,404.80/388,492.80 = 175,846.40/x
  3. Step 3: Cross multiply
    259,404.80x = 388,492.80 × 175,846.40
  4. Step 4: Simplify right side
    259,404.80x = 68,315,060,305.92
  5. Step 5: Solve for x
    x = 68,315,060,305.92/259,404.80
  6. Step 6: Final answer
    x = 263,353.11

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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.