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Finding the Fourth Proportional to 291,433.50, 402,196.38 and 176,722.26

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Solution

The fourth proportional to 291,433.50, 402,196.38 and 176,722.26 is: 243,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,433.50 : 402,196.38 = 176,722.26 : x
  2. Step 2: Convert to fraction form
    291,433.50/402,196.38 = 176,722.26/x
  3. Step 3: Cross multiply
    291,433.50x = 402,196.38 × 176,722.26
  4. Step 4: Simplify right side
    291,433.50x = 71,077,053,237.42
  5. Step 5: Solve for x
    x = 71,077,053,237.42/291,433.50
  6. Step 6: Final answer
    x = 243,887.72

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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.