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Finding the Fourth Proportional to 295,823.50, 408,265.15 and 175,003.68

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Solution

The fourth proportional to 295,823.50, 408,265.15 and 175,003.68 is: 241,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,823.50 : 408,265.15 = 175,003.68 : x
  2. Step 2: Convert to fraction form
    295,823.50/408,265.15 = 175,003.68/x
  3. Step 3: Cross multiply
    295,823.50x = 408,265.15 × 175,003.68
  4. Step 4: Simplify right side
    295,823.50x = 71,447,903,665.75
  5. Step 5: Solve for x
    x = 71,447,903,665.75/295,823.50
  6. Step 6: Final answer
    x = 241,522.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.