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Finding the Fourth Proportional to 377,051.96, 565,259.31 and 163,658.48

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Solution

The fourth proportional to 377,051.96, 565,259.31 and 163,658.48 is: 245,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,051.96 : 565,259.31 = 163,658.48 : x
  2. Step 2: Convert to fraction form
    377,051.96/565,259.31 = 163,658.48/x
  3. Step 3: Cross multiply
    377,051.96x = 565,259.31 × 163,658.48
  4. Step 4: Simplify right side
    377,051.96x = 92,509,476,654.15
  5. Step 5: Solve for x
    x = 92,509,476,654.15/377,051.96
  6. Step 6: Final answer
    x = 245,349.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.