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Finding the Fourth Proportional to 386,782.25, 533,768.70 and 217,028.93

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Solution

The fourth proportional to 386,782.25, 533,768.70 and 217,028.93 is: 299,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,782.25 : 533,768.70 = 217,028.93 : x
  2. Step 2: Convert to fraction form
    386,782.25/533,768.70 = 217,028.93/x
  3. Step 3: Cross multiply
    386,782.25x = 533,768.70 × 217,028.93
  4. Step 4: Simplify right side
    386,782.25x = 115,843,247,159.65
  5. Step 5: Solve for x
    x = 115,843,247,159.65/386,782.25
  6. Step 6: Final answer
    x = 299,505.08

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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.