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Finding the Fourth Proportional to 386,782.38, 533,768.88 and 217,029.06

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Solution

The fourth proportional to 386,782.38, 533,768.88 and 217,029.06 is: 299,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,782.38 : 533,768.88 = 217,029.06 : x
  2. Step 2: Convert to fraction form
    386,782.38/533,768.88 = 217,029.06/x
  3. Step 3: Cross multiply
    386,782.38x = 533,768.88 × 217,029.06
  4. Step 4: Simplify right side
    386,782.38x = 115,843,358,283.65
  5. Step 5: Solve for x
    x = 115,843,358,283.65/386,782.38
  6. Step 6: Final answer
    x = 299,505.26

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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.