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Finding the Fourth Proportional to 506,038.32, 698,313.24 and 291,247.56

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Solution

The fourth proportional to 506,038.32, 698,313.24 and 291,247.56 is: 401,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,038.32 : 698,313.24 = 291,247.56 : x
  2. Step 2: Convert to fraction form
    506,038.32/698,313.24 = 291,247.56/x
  3. Step 3: Cross multiply
    506,038.32x = 698,313.24 × 291,247.56
  4. Step 4: Simplify right side
    506,038.32x = 203,382,027,265.69
  5. Step 5: Solve for x
    x = 203,382,027,265.69/506,038.32
  6. Step 6: Final answer
    x = 401,910.33

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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.