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Finding the Fourth Proportional to 506,291.72, 698,353.38 and 324,716.04

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Solution

The fourth proportional to 506,291.72, 698,353.38 and 324,716.04 is: 447,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,291.72 : 698,353.38 = 324,716.04 : x
  2. Step 2: Convert to fraction form
    506,291.72/698,353.38 = 324,716.04/x
  3. Step 3: Cross multiply
    506,291.72x = 698,353.38 × 324,716.04
  4. Step 4: Simplify right side
    506,291.72x = 226,766,544,074.22
  5. Step 5: Solve for x
    x = 226,766,544,074.22/506,291.72
  6. Step 6: Final answer
    x = 447,897.01

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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.