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Finding the Fourth Proportional to 506,093.67, 698,409.95 and 291,229.47

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Solution

The fourth proportional to 506,093.67, 698,409.95 and 291,229.47 is: 401,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,093.67 : 698,409.95 = 291,229.47 : x
  2. Step 2: Convert to fraction form
    506,093.67/698,409.95 = 291,229.47/x
  3. Step 3: Cross multiply
    506,093.67x = 698,409.95 × 291,229.47
  4. Step 4: Simplify right side
    506,093.67x = 203,397,558,125.08
  5. Step 5: Solve for x
    x = 203,397,558,125.08/506,093.67
  6. Step 6: Final answer
    x = 401,897.06

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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.