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Finding the Fourth Proportional to 311,855.60, 467,783.40 and 101,514.80

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Solution

The fourth proportional to 311,855.60, 467,783.40 and 101,514.80 is: 152,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,855.60 : 467,783.40 = 101,514.80 : x
  2. Step 2: Convert to fraction form
    311,855.60/467,783.40 = 101,514.80/x
  3. Step 3: Cross multiply
    311,855.60x = 467,783.40 × 101,514.80
  4. Step 4: Simplify right side
    311,855.60x = 47,486,938,294.32
  5. Step 5: Solve for x
    x = 47,486,938,294.32/311,855.60
  6. Step 6: Final answer
    x = 152,272.20

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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.