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Finding the Fourth Proportional to 299,748.48, 413,648.06 and 163,779.50

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Solution

The fourth proportional to 299,748.48, 413,648.06 and 163,779.50 is: 226,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,748.48 : 413,648.06 = 163,779.50 : x
  2. Step 2: Convert to fraction form
    299,748.48/413,648.06 = 163,779.50/x
  3. Step 3: Cross multiply
    299,748.48x = 413,648.06 × 163,779.50
  4. Step 4: Simplify right side
    299,748.48x = 67,747,072,442.77
  5. Step 5: Solve for x
    x = 67,747,072,442.77/299,748.48
  6. Step 6: Final answer
    x = 226,013.06

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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.