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Finding the Fourth Proportional to 523,992, 723,108.96 and 297,681.24

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Solution

The fourth proportional to 523,992, 723,108.96 and 297,681.24 is: 410,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,992 : 723,108.96 = 297,681.24 : x
  2. Step 2: Convert to fraction form
    523,992/723,108.96 = 297,681.24/x
  3. Step 3: Cross multiply
    523,992x = 723,108.96 × 297,681.24
  4. Step 4: Simplify right side
    523,992x = 215,255,971,867.91
  5. Step 5: Solve for x
    x = 215,255,971,867.91/523,992
  6. Step 6: Final answer
    x = 410,800.11

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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.