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Finding the Fourth Proportional to 358,570.80, 537,856.20 and 311,914.80

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Solution

The fourth proportional to 358,570.80, 537,856.20 and 311,914.80 is: 467,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,570.80 : 537,856.20 = 311,914.80 : x
  2. Step 2: Convert to fraction form
    358,570.80/537,856.20 = 311,914.80/x
  3. Step 3: Cross multiply
    358,570.80x = 537,856.20 × 311,914.80
  4. Step 4: Simplify right side
    358,570.80x = 167,765,309,051.76
  5. Step 5: Solve for x
    x = 167,765,309,051.76/358,570.80
  6. Step 6: Final answer
    x = 467,872.20

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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.