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Finding the Fourth Proportional to 511,116.36, 705,343.34 and 293,307.68

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Solution

The fourth proportional to 511,116.36, 705,343.34 and 293,307.68 is: 404,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,116.36 : 705,343.34 = 293,307.68 : x
  2. Step 2: Convert to fraction form
    511,116.36/705,343.34 = 293,307.68/x
  3. Step 3: Cross multiply
    511,116.36x = 705,343.34 × 293,307.68
  4. Step 4: Simplify right side
    511,116.36x = 206,882,621,155.48
  5. Step 5: Solve for x
    x = 206,882,621,155.48/511,116.36
  6. Step 6: Final answer
    x = 404,766.19

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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.