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Finding the Fourth Proportional to 391,536.18, 540,191.43 and 219,429

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Solution

The fourth proportional to 391,536.18, 540,191.43 and 219,429 is: 302,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,536.18 : 540,191.43 = 219,429 : x
  2. Step 2: Convert to fraction form
    391,536.18/540,191.43 = 219,429/x
  3. Step 3: Cross multiply
    391,536.18x = 540,191.43 × 219,429
  4. Step 4: Simplify right side
    391,536.18x = 118,533,665,293.47
  5. Step 5: Solve for x
    x = 118,533,665,293.47/391,536.18
  6. Step 6: Final answer
    x = 302,740.01

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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.