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Finding the Fourth Proportional to 300,269.32, 414,368.14 and 164,301.72

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Solution

The fourth proportional to 300,269.32, 414,368.14 and 164,301.72 is: 226,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,269.32 : 414,368.14 = 164,301.72 : x
  2. Step 2: Convert to fraction form
    300,269.32/414,368.14 = 164,301.72/x
  3. Step 3: Cross multiply
    300,269.32x = 414,368.14 × 164,301.72
  4. Step 4: Simplify right side
    300,269.32x = 68,081,398,115.20
  5. Step 5: Solve for x
    x = 68,081,398,115.20/300,269.32
  6. Step 6: Final answer
    x = 226,734.45

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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.