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Finding the Fourth Proportional to 468,404.76, 703,000.80 and 202,368.36

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Solution

The fourth proportional to 468,404.76, 703,000.80 and 202,368.36 is: 303,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,404.76 : 703,000.80 = 202,368.36 : x
  2. Step 2: Convert to fraction form
    468,404.76/703,000.80 = 202,368.36/x
  3. Step 3: Cross multiply
    468,404.76x = 703,000.80 × 202,368.36
  4. Step 4: Simplify right side
    468,404.76x = 142,265,118,974.69
  5. Step 5: Solve for x
    x = 142,265,118,974.69/468,404.76
  6. Step 6: Final answer
    x = 303,722.62

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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.