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Finding the Fourth Proportional to 299,999.70, 414,005.58 and 164,042.16

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Solution

The fourth proportional to 299,999.70, 414,005.58 and 164,042.16 is: 226,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,999.70 : 414,005.58 = 164,042.16 : x
  2. Step 2: Convert to fraction form
    299,999.70/414,005.58 = 164,042.16/x
  3. Step 3: Cross multiply
    299,999.70x = 414,005.58 × 164,042.16
  4. Step 4: Simplify right side
    299,999.70x = 67,914,369,595.25
  5. Step 5: Solve for x
    x = 67,914,369,595.25/299,999.70
  6. Step 6: Final answer
    x = 226,381.46

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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.