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Finding the Fourth Proportional to 255,918.60, 383,906.70 and 78,424.20

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Solution

The fourth proportional to 255,918.60, 383,906.70 and 78,424.20 is: 117,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,918.60 : 383,906.70 = 78,424.20 : x
  2. Step 2: Convert to fraction form
    255,918.60/383,906.70 = 78,424.20/x
  3. Step 3: Cross multiply
    255,918.60x = 383,906.70 × 78,424.20
  4. Step 4: Simplify right side
    255,918.60x = 30,107,575,822.14
  5. Step 5: Solve for x
    x = 30,107,575,822.14/255,918.60
  6. Step 6: Final answer
    x = 117,645.13

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1.5x scale

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.