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Finding the Fourth Proportional to 540,426.48, 745,768.64 and 311,019.06

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Solution

The fourth proportional to 540,426.48, 745,768.64 and 311,019.06 is: 429,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,426.48 : 745,768.64 = 311,019.06 : x
  2. Step 2: Convert to fraction form
    540,426.48/745,768.64 = 311,019.06/x
  3. Step 3: Cross multiply
    540,426.48x = 745,768.64 × 311,019.06
  4. Step 4: Simplify right side
    540,426.48x = 231,948,259,020.03
  5. Step 5: Solve for x
    x = 231,948,259,020.03/540,426.48
  6. Step 6: Final answer
    x = 429,194.84

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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.