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Finding the Fourth Proportional to 282,468.80, 423,566.40 and 164,174.24

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Solution

The fourth proportional to 282,468.80, 423,566.40 and 164,174.24 is: 246,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,468.80 : 423,566.40 = 164,174.24 : x
  2. Step 2: Convert to fraction form
    282,468.80/423,566.40 = 164,174.24/x
  3. Step 3: Cross multiply
    282,468.80x = 423,566.40 × 164,174.24
  4. Step 4: Simplify right side
    282,468.80x = 69,538,691,809.54
  5. Step 5: Solve for x
    x = 69,538,691,809.54/282,468.80
  6. Step 6: Final answer
    x = 246,181.85

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1.5x scale

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.