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Finding the Fourth Proportional to 334,431.78, 501,811.68 and 156,953.22

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Solution

The fourth proportional to 334,431.78, 501,811.68 and 156,953.22 is: 235,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,431.78 : 501,811.68 = 156,953.22 : x
  2. Step 2: Convert to fraction form
    334,431.78/501,811.68 = 156,953.22/x
  3. Step 3: Cross multiply
    334,431.78x = 501,811.68 × 156,953.22
  4. Step 4: Simplify right side
    334,431.78x = 78,760,959,009.61
  5. Step 5: Solve for x
    x = 78,760,959,009.61/334,431.78
  6. Step 6: Final answer
    x = 235,506.80

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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.