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Finding the Fourth Proportional to 291,324.01, 402,065.45 and 164,024.41

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Solution

The fourth proportional to 291,324.01, 402,065.45 and 164,024.41 is: 226,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,324.01 : 402,065.45 = 164,024.41 : x
  2. Step 2: Convert to fraction form
    291,324.01/402,065.45 = 164,024.41/x
  3. Step 3: Cross multiply
    291,324.01x = 402,065.45 × 164,024.41
  4. Step 4: Simplify right side
    291,324.01x = 65,948,547,622.53
  5. Step 5: Solve for x
    x = 65,948,547,622.53/291,324.01
  6. Step 6: Final answer
    x = 226,375.26

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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.