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Finding the Fourth Proportional to 564,104.68, 778,459.92 and 305,980.98

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Solution

The fourth proportional to 564,104.68, 778,459.92 and 305,980.98 is: 422,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,104.68 : 778,459.92 = 305,980.98 : x
  2. Step 2: Convert to fraction form
    564,104.68/778,459.92 = 305,980.98/x
  3. Step 3: Cross multiply
    564,104.68x = 778,459.92 × 305,980.98
  4. Step 4: Simplify right side
    564,104.68x = 238,193,925,145.67
  5. Step 5: Solve for x
    x = 238,193,925,145.67/564,104.68
  6. Step 6: Final answer
    x = 422,251.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.