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Finding the Fourth Proportional to 480,203.60, 720,757.38 and 243,716

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Solution

The fourth proportional to 480,203.60, 720,757.38 and 243,716 is: 365,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,203.60 : 720,757.38 = 243,716 : x
  2. Step 2: Convert to fraction form
    480,203.60/720,757.38 = 243,716/x
  3. Step 3: Cross multiply
    480,203.60x = 720,757.38 × 243,716
  4. Step 4: Simplify right side
    480,203.60x = 175,660,105,624.08
  5. Step 5: Solve for x
    x = 175,660,105,624.08/480,203.60
  6. Step 6: Final answer
    x = 365,803.39

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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.