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Finding the Fourth Proportional to 284,272.01, 392,329.77 and 161,794.16

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Solution

The fourth proportional to 284,272.01, 392,329.77 and 161,794.16 is: 223,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,272.01 : 392,329.77 = 161,794.16 : x
  2. Step 2: Convert to fraction form
    284,272.01/392,329.77 = 161,794.16/x
  3. Step 3: Cross multiply
    284,272.01x = 392,329.77 × 161,794.16
  4. Step 4: Simplify right side
    284,272.01x = 63,476,664,483.00
  5. Step 5: Solve for x
    x = 63,476,664,483.00/284,272.01
  6. Step 6: Final answer
    x = 223,295.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.