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Finding the Fourth Proportional to 371,996.46, 513,358.74 and 202,234.23

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Solution

The fourth proportional to 371,996.46, 513,358.74 and 202,234.23 is: 279,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,996.46 : 513,358.74 = 202,234.23 : x
  2. Step 2: Convert to fraction form
    371,996.46/513,358.74 = 202,234.23/x
  3. Step 3: Cross multiply
    371,996.46x = 513,358.74 × 202,234.23
  4. Step 4: Simplify right side
    371,996.46x = 103,818,709,497.67
  5. Step 5: Solve for x
    x = 103,818,709,497.67/371,996.46
  6. Step 6: Final answer
    x = 279,085.21

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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.