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Finding the Fourth Proportional to 391,669.32, 540,590.58 and 221,997

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Solution

The fourth proportional to 391,669.32, 540,590.58 and 221,997 is: 306,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,669.32 : 540,590.58 = 221,997 : x
  2. Step 2: Convert to fraction form
    391,669.32/540,590.58 = 221,997/x
  3. Step 3: Cross multiply
    391,669.32x = 540,590.58 × 221,997
  4. Step 4: Simplify right side
    391,669.32x = 120,009,486,988.26
  5. Step 5: Solve for x
    x = 120,009,486,988.26/391,669.32
  6. Step 6: Final answer
    x = 306,405.13

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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.