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Finding the Fourth Proportional to 291,593.10, 402,349.76 and 162,503.37

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Solution

The fourth proportional to 291,593.10, 402,349.76 and 162,503.37 is: 224,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,593.10 : 402,349.76 = 162,503.37 : x
  2. Step 2: Convert to fraction form
    291,593.10/402,349.76 = 162,503.37/x
  3. Step 3: Cross multiply
    291,593.10x = 402,349.76 × 162,503.37
  4. Step 4: Simplify right side
    291,593.10x = 65,383,191,106.17
  5. Step 5: Solve for x
    x = 65,383,191,106.17/291,593.10
  6. Step 6: Final answer
    x = 224,227.50

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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.