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Finding the Fourth Proportional to 291,566.52, 402,354.18 and 164,234.52

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Solution

The fourth proportional to 291,566.52, 402,354.18 and 164,234.52 is: 226,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,566.52 : 402,354.18 = 164,234.52 : x
  2. Step 2: Convert to fraction form
    291,566.52/402,354.18 = 164,234.52/x
  3. Step 3: Cross multiply
    291,566.52x = 402,354.18 × 164,234.52
  4. Step 4: Simplify right side
    291,566.52x = 66,080,445,622.29
  5. Step 5: Solve for x
    x = 66,080,445,622.29/291,566.52
  6. Step 6: Final answer
    x = 226,639.35

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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.