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Finding the Fourth Proportional to 523,146.67, 721,892.53 and 293,651.40

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Solution

The fourth proportional to 523,146.67, 721,892.53 and 293,651.40 is: 405,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,146.67 : 721,892.53 = 293,651.40 : x
  2. Step 2: Convert to fraction form
    523,146.67/721,892.53 = 293,651.40/x
  3. Step 3: Cross multiply
    523,146.67x = 721,892.53 × 293,651.40
  4. Step 4: Simplify right side
    523,146.67x = 211,984,752,084.04
  5. Step 5: Solve for x
    x = 211,984,752,084.04/523,146.67
  6. Step 6: Final answer
    x = 405,210.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.