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Finding the Fourth Proportional to 323,205.12, 484,806.35 and 98,564.90

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Solution

The fourth proportional to 323,205.12, 484,806.35 and 98,564.90 is: 147,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,205.12 : 484,806.35 = 98,564.90 : x
  2. Step 2: Convert to fraction form
    323,205.12/484,806.35 = 98,564.90/x
  3. Step 3: Cross multiply
    323,205.12x = 484,806.35 × 98,564.90
  4. Step 4: Simplify right side
    323,205.12x = 47,784,886,490.26
  5. Step 5: Solve for x
    x = 47,784,886,490.26/323,205.12
  6. Step 6: Final answer
    x = 147,846.94

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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.