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Finding the Fourth Proportional to 416,065.82, 573,323.87 and 287,043.75

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Solution

The fourth proportional to 416,065.82, 573,323.87 and 287,043.75 is: 395,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,065.82 : 573,323.87 = 287,043.75 : x
  2. Step 2: Convert to fraction form
    416,065.82/573,323.87 = 287,043.75/x
  3. Step 3: Cross multiply
    416,065.82x = 573,323.87 × 287,043.75
  4. Step 4: Simplify right side
    416,065.82x = 164,569,034,326.92
  5. Step 5: Solve for x
    x = 164,569,034,326.92/416,065.82
  6. Step 6: Final answer
    x = 395,536.06

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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.