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Finding the Fourth Proportional to 600,934.11, 829,335.12 and 342,816.74

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Solution

The fourth proportional to 600,934.11, 829,335.12 and 342,816.74 is: 473,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,934.11 : 829,335.12 = 342,816.74 : x
  2. Step 2: Convert to fraction form
    600,934.11/829,335.12 = 342,816.74/x
  3. Step 3: Cross multiply
    600,934.11x = 829,335.12 × 342,816.74
  4. Step 4: Simplify right side
    600,934.11x = 284,309,958,059.23
  5. Step 5: Solve for x
    x = 284,309,958,059.23/600,934.11
  6. Step 6: Final answer
    x = 473,113.36

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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.