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Finding the Fourth Proportional to 417,736.44, 576,775.88 and 256,807.24

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Solution

The fourth proportional to 417,736.44, 576,775.88 and 256,807.24 is: 354,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,736.44 : 576,775.88 = 256,807.24 : x
  2. Step 2: Convert to fraction form
    417,736.44/576,775.88 = 256,807.24/x
  3. Step 3: Cross multiply
    417,736.44x = 576,775.88 × 256,807.24
  4. Step 4: Simplify right side
    417,736.44x = 148,120,221,841.37
  5. Step 5: Solve for x
    x = 148,120,221,841.37/417,736.44
  6. Step 6: Final answer
    x = 354,578.17

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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.