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Finding the Fourth Proportional to 306,206.68, 422,588.87 and 183,703.66

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Solution

The fourth proportional to 306,206.68, 422,588.87 and 183,703.66 is: 253,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,206.68 : 422,588.87 = 183,703.66 : x
  2. Step 2: Convert to fraction form
    306,206.68/422,588.87 = 183,703.66/x
  3. Step 3: Cross multiply
    306,206.68x = 422,588.87 × 183,703.66
  4. Step 4: Simplify right side
    306,206.68x = 77,631,123,185.22
  5. Step 5: Solve for x
    x = 77,631,123,185.22/306,206.68
  6. Step 6: Final answer
    x = 253,525.24

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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.