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Finding the Fourth Proportional to 322,913.30, 484,473.76 and 98,317.24

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Solution

The fourth proportional to 322,913.30, 484,473.76 and 98,317.24 is: 147,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,913.30 : 484,473.76 = 98,317.24 : x
  2. Step 2: Convert to fraction form
    322,913.30/484,473.76 = 98,317.24/x
  3. Step 3: Cross multiply
    322,913.30x = 484,473.76 × 98,317.24
  4. Step 4: Simplify right side
    322,913.30x = 47,632,121,478.64
  5. Step 5: Solve for x
    x = 47,632,121,478.64/322,913.30
  6. Step 6: Final answer
    x = 147,507.46

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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.