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Finding the Fourth Proportional to 600,932.23, 829,332.53 and 342,814.86

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Solution

The fourth proportional to 600,932.23, 829,332.53 and 342,814.86 is: 473,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,932.23 : 829,332.53 = 342,814.86 : x
  2. Step 2: Convert to fraction form
    600,932.23/829,332.53 = 342,814.86/x
  3. Step 3: Cross multiply
    600,932.23x = 829,332.53 × 342,814.86
  4. Step 4: Simplify right side
    600,932.23x = 284,307,516,022.43
  5. Step 5: Solve for x
    x = 284,307,516,022.43/600,932.23
  6. Step 6: Final answer
    x = 473,110.78

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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.