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Finding the Fourth Proportional to 300,602.34, 414,838.67 and 164,642.02

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Solution

The fourth proportional to 300,602.34, 414,838.67 and 164,642.02 is: 227,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,602.34 : 414,838.67 = 164,642.02 : x
  2. Step 2: Convert to fraction form
    300,602.34/414,838.67 = 164,642.02/x
  3. Step 3: Cross multiply
    300,602.34x = 414,838.67 × 164,642.02
  4. Step 4: Simplify right side
    300,602.34x = 68,299,874,742.61
  5. Step 5: Solve for x
    x = 68,299,874,742.61/300,602.34
  6. Step 6: Final answer
    x = 227,210.06

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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.