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Finding the Fourth Proportional to 300,564.54, 450,907.02 and 98,174.16

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Solution

The fourth proportional to 300,564.54, 450,907.02 and 98,174.16 is: 147,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,564.54 : 450,907.02 = 98,174.16 : x
  2. Step 2: Convert to fraction form
    300,564.54/450,907.02 = 98,174.16/x
  3. Step 3: Cross multiply
    300,564.54x = 450,907.02 × 98,174.16
  4. Step 4: Simplify right side
    300,564.54x = 44,267,417,926.60
  5. Step 5: Solve for x
    x = 44,267,417,926.60/300,564.54
  6. Step 6: Final answer
    x = 147,280.91

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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.