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Finding the Fourth Proportional to 300,547.05, 414,755.05 and 164,589.46

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Solution

The fourth proportional to 300,547.05, 414,755.05 and 164,589.46 is: 227,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,547.05 : 414,755.05 = 164,589.46 : x
  2. Step 2: Convert to fraction form
    300,547.05/414,755.05 = 164,589.46/x
  3. Step 3: Cross multiply
    300,547.05x = 414,755.05 × 164,589.46
  4. Step 4: Simplify right side
    300,547.05x = 68,264,309,711.77
  5. Step 5: Solve for x
    x = 68,264,309,711.77/300,547.05
  6. Step 6: Final answer
    x = 227,133.52

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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.