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Finding the Fourth Proportional to 523,471.05, 722,839.05 and 506,543.67

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Solution

The fourth proportional to 523,471.05, 722,839.05 and 506,543.67 is: 699,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,471.05 : 722,839.05 = 506,543.67 : x
  2. Step 2: Convert to fraction form
    523,471.05/722,839.05 = 506,543.67/x
  3. Step 3: Cross multiply
    523,471.05x = 722,839.05 × 506,543.67
  4. Step 4: Simplify right side
    523,471.05x = 366,149,545,206.31
  5. Step 5: Solve for x
    x = 366,149,545,206.31/523,471.05
  6. Step 6: Final answer
    x = 699,464.75

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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.