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Finding the Fourth Proportional to 293,098.60, 439,647.90 and 174,903.40

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Solution

The fourth proportional to 293,098.60, 439,647.90 and 174,903.40 is: 262,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,098.60 : 439,647.90 = 174,903.40 : x
  2. Step 2: Convert to fraction form
    293,098.60/439,647.90 = 174,903.40/x
  3. Step 3: Cross multiply
    293,098.60x = 439,647.90 × 174,903.40
  4. Step 4: Simplify right side
    293,098.60x = 76,895,912,512.86
  5. Step 5: Solve for x
    x = 76,895,912,512.86/293,098.60
  6. Step 6: Final answer
    x = 262,355.10

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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.