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Finding the Fourth Proportional to 401,439.40, 601,648.80 and 164,514.40

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Solution

The fourth proportional to 401,439.40, 601,648.80 and 164,514.40 is: 246,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,439.40 : 601,648.80 = 164,514.40 : x
  2. Step 2: Convert to fraction form
    401,439.40/601,648.80 = 164,514.40/x
  3. Step 3: Cross multiply
    401,439.40x = 601,648.80 × 164,514.40
  4. Step 4: Simplify right side
    401,439.40x = 98,979,891,342.72
  5. Step 5: Solve for x
    x = 98,979,891,342.72/401,439.40
  6. Step 6: Final answer
    x = 246,562.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.