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Finding the Fourth Proportional to 334,411.74, 501,646.77 and 97,778.34

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Solution

The fourth proportional to 334,411.74, 501,646.77 and 97,778.34 is: 146,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,411.74 : 501,646.77 = 97,778.34 : x
  2. Step 2: Convert to fraction form
    334,411.74/501,646.77 = 97,778.34/x
  3. Step 3: Cross multiply
    334,411.74x = 501,646.77 × 97,778.34
  4. Step 4: Simplify right side
    334,411.74x = 49,050,188,436.96
  5. Step 5: Solve for x
    x = 49,050,188,436.96/334,411.74
  6. Step 6: Final answer
    x = 146,676.04

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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.