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Finding the Fourth Proportional to 289,847.66, 399,805.71 and 209,393.39

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Solution

The fourth proportional to 289,847.66, 399,805.71 and 209,393.39 is: 288,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,847.66 : 399,805.71 = 209,393.39 : x
  2. Step 2: Convert to fraction form
    289,847.66/399,805.71 = 209,393.39/x
  3. Step 3: Cross multiply
    289,847.66x = 399,805.71 × 209,393.39
  4. Step 4: Simplify right side
    289,847.66x = 83,716,670,959.23
  5. Step 5: Solve for x
    x = 83,716,670,959.23/289,847.66
  6. Step 6: Final answer
    x = 288,829.91

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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.