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Finding the Fourth Proportional to 309,367.84, 464,076.24 and 99,005.80

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Solution

The fourth proportional to 309,367.84, 464,076.24 and 99,005.80 is: 148,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,367.84 : 464,076.24 = 99,005.80 : x
  2. Step 2: Convert to fraction form
    309,367.84/464,076.24 = 99,005.80/x
  3. Step 3: Cross multiply
    309,367.84x = 464,076.24 × 99,005.80
  4. Step 4: Simplify right side
    309,367.84x = 45,946,239,402.19
  5. Step 5: Solve for x
    x = 45,946,239,402.19/309,367.84
  6. Step 6: Final answer
    x = 148,516.53

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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.