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Finding the Fourth Proportional to 309,360.28, 464,033.94 and 98,998.42

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Solution

The fourth proportional to 309,360.28, 464,033.94 and 98,998.42 is: 148,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,360.28 : 464,033.94 = 98,998.42 : x
  2. Step 2: Convert to fraction form
    309,360.28/464,033.94 = 98,998.42/x
  3. Step 3: Cross multiply
    309,360.28x = 464,033.94 × 98,998.42
  4. Step 4: Simplify right side
    309,360.28x = 45,938,626,886.37
  5. Step 5: Solve for x
    x = 45,938,626,886.37/309,360.28
  6. Step 6: Final answer
    x = 148,495.56

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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.