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Finding the Fourth Proportional to 311,813.12, 467,501.96 and 159,714.80

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Solution

The fourth proportional to 311,813.12, 467,501.96 and 159,714.80 is: 239,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,813.12 : 467,501.96 = 159,714.80 : x
  2. Step 2: Convert to fraction form
    311,813.12/467,501.96 = 159,714.80/x
  3. Step 3: Cross multiply
    311,813.12x = 467,501.96 × 159,714.80
  4. Step 4: Simplify right side
    311,813.12x = 74,666,982,041.01
  5. Step 5: Solve for x
    x = 74,666,982,041.01/311,813.12
  6. Step 6: Final answer
    x = 239,460.68

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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.