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Finding the Fourth Proportional to 334,254.98, 501,465.36 and 165,854.72

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Solution

The fourth proportional to 334,254.98, 501,465.36 and 165,854.72 is: 248,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,254.98 : 501,465.36 = 165,854.72 : x
  2. Step 2: Convert to fraction form
    334,254.98/501,465.36 = 165,854.72/x
  3. Step 3: Cross multiply
    334,254.98x = 501,465.36 × 165,854.72
  4. Step 4: Simplify right side
    334,254.98x = 83,170,396,872.50
  5. Step 5: Solve for x
    x = 83,170,396,872.50/334,254.98
  6. Step 6: Final answer
    x = 248,823.21

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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.