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Finding the Fourth Proportional to 322,533.28, 484,055.88 and 172,884.16

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Solution

The fourth proportional to 322,533.28, 484,055.88 and 172,884.16 is: 259,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,533.28 : 484,055.88 = 172,884.16 : x
  2. Step 2: Convert to fraction form
    322,533.28/484,055.88 = 172,884.16/x
  3. Step 3: Cross multiply
    322,533.28x = 484,055.88 × 172,884.16
  4. Step 4: Simplify right side
    322,533.28x = 83,685,594,206.86
  5. Step 5: Solve for x
    x = 83,685,594,206.86/322,533.28
  6. Step 6: Final answer
    x = 259,463.44

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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.