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Finding the Fourth Proportional to 382,808.10, 528,269.97 and 213,042.24

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Solution

The fourth proportional to 382,808.10, 528,269.97 and 213,042.24 is: 293,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,808.10 : 528,269.97 = 213,042.24 : x
  2. Step 2: Convert to fraction form
    382,808.10/528,269.97 = 213,042.24/x
  3. Step 3: Cross multiply
    382,808.10x = 528,269.97 × 213,042.24
  4. Step 4: Simplify right side
    382,808.10x = 112,543,817,733.53
  5. Step 5: Solve for x
    x = 112,543,817,733.53/382,808.10
  6. Step 6: Final answer
    x = 293,995.39

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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.