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Finding the Fourth Proportional to 338,416.38, 467,015.15 and 185,430.26

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Solution

The fourth proportional to 338,416.38, 467,015.15 and 185,430.26 is: 255,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,416.38 : 467,015.15 = 185,430.26 : x
  2. Step 2: Convert to fraction form
    338,416.38/467,015.15 = 185,430.26/x
  3. Step 3: Cross multiply
    338,416.38x = 467,015.15 × 185,430.26
  4. Step 4: Simplify right side
    338,416.38x = 86,598,742,319.55
  5. Step 5: Solve for x
    x = 86,598,742,319.55/338,416.38
  6. Step 6: Final answer
    x = 255,894.06

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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.