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Finding the Fourth Proportional to 282,377.57, 389,544.23 and 186,964.22

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Solution

The fourth proportional to 282,377.57, 389,544.23 and 186,964.22 is: 257,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,377.57 : 389,544.23 = 186,964.22 : x
  2. Step 2: Convert to fraction form
    282,377.57/389,544.23 = 186,964.22/x
  3. Step 3: Cross multiply
    282,377.57x = 389,544.23 × 186,964.22
  4. Step 4: Simplify right side
    282,377.57x = 72,830,830,234.91
  5. Step 5: Solve for x
    x = 72,830,830,234.91/282,377.57
  6. Step 6: Final answer
    x = 257,920.03

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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.