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Finding the Fourth Proportional to 298,710.64, 412,220.46 and 164,574.64

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Solution

The fourth proportional to 298,710.64, 412,220.46 and 164,574.64 is: 227,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,710.64 : 412,220.46 = 164,574.64 : x
  2. Step 2: Convert to fraction form
    298,710.64/412,220.46 = 164,574.64/x
  3. Step 3: Cross multiply
    298,710.64x = 412,220.46 × 164,574.64
  4. Step 4: Simplify right side
    298,710.64x = 67,841,033,805.13
  5. Step 5: Solve for x
    x = 67,841,033,805.13/298,710.64
  6. Step 6: Final answer
    x = 227,112.88

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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.