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Finding the Fourth Proportional to 417,774.84, 576,530.01 and 226,788.36

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Solution

The fourth proportional to 417,774.84, 576,530.01 and 226,788.36 is: 312,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,774.84 : 576,530.01 = 226,788.36 : x
  2. Step 2: Convert to fraction form
    417,774.84/576,530.01 = 226,788.36/x
  3. Step 3: Cross multiply
    417,774.84x = 576,530.01 × 226,788.36
  4. Step 4: Simplify right side
    417,774.84x = 130,750,295,458.68
  5. Step 5: Solve for x
    x = 130,750,295,458.68/417,774.84
  6. Step 6: Final answer
    x = 312,968.33

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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.