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Finding the Fourth Proportional to 564,460.31, 778,914.56 and 322,753.07

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Solution

The fourth proportional to 564,460.31, 778,914.56 and 322,753.07 is: 445,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,460.31 : 778,914.56 = 322,753.07 : x
  2. Step 2: Convert to fraction form
    564,460.31/778,914.56 = 322,753.07/x
  3. Step 3: Cross multiply
    564,460.31x = 778,914.56 × 322,753.07
  4. Step 4: Simplify right side
    564,460.31x = 251,397,063,893.93
  5. Step 5: Solve for x
    x = 251,397,063,893.93/564,460.31
  6. Step 6: Final answer
    x = 445,375.98

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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.