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Finding the Fourth Proportional to 546,226, 753,836.78 and 301,258.68

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Solution

The fourth proportional to 546,226, 753,836.78 and 301,258.68 is: 415,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,226 : 753,836.78 = 301,258.68 : x
  2. Step 2: Convert to fraction form
    546,226/753,836.78 = 301,258.68/x
  3. Step 3: Cross multiply
    546,226x = 753,836.78 × 301,258.68
  4. Step 4: Simplify right side
    546,226x = 227,099,873,278.25
  5. Step 5: Solve for x
    x = 227,099,873,278.25/546,226
  6. Step 6: Final answer
    x = 415,761.74

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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.