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Finding the Fourth Proportional to 338,894.60, 507,987.23 and 114,177.42

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Solution

The fourth proportional to 338,894.60, 507,987.23 and 114,177.42 is: 171,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,894.60 : 507,987.23 = 114,177.42 : x
  2. Step 2: Convert to fraction form
    338,894.60/507,987.23 = 114,177.42/x
  3. Step 3: Cross multiply
    338,894.60x = 507,987.23 × 114,177.42
  4. Step 4: Simplify right side
    338,894.60x = 58,000,670,743.46
  5. Step 5: Solve for x
    x = 58,000,670,743.46/338,894.60
  6. Step 6: Final answer
    x = 171,146.64

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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.