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Finding the Fourth Proportional to 282,307.83, 389,558.92 and 167,566.88

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Solution

The fourth proportional to 282,307.83, 389,558.92 and 167,566.88 is: 231,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,307.83 : 389,558.92 = 167,566.88 : x
  2. Step 2: Convert to fraction form
    282,307.83/389,558.92 = 167,566.88/x
  3. Step 3: Cross multiply
    282,307.83x = 389,558.92 × 167,566.88
  4. Step 4: Simplify right side
    282,307.83x = 65,277,171,478.47
  5. Step 5: Solve for x
    x = 65,277,171,478.47/282,307.83
  6. Step 6: Final answer
    x = 231,226.92

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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.