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Finding the Fourth Proportional to 382,053.90, 527,211.27 and 212,282.22

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Solution

The fourth proportional to 382,053.90, 527,211.27 and 212,282.22 is: 292,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,053.90 : 527,211.27 = 212,282.22 : x
  2. Step 2: Convert to fraction form
    382,053.90/527,211.27 = 212,282.22/x
  3. Step 3: Cross multiply
    382,053.90x = 527,211.27 × 212,282.22
  4. Step 4: Simplify right side
    382,053.90x = 111,917,578,804.62
  5. Step 5: Solve for x
    x = 111,917,578,804.62/382,053.90
  6. Step 6: Final answer
    x = 292,936.62

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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.