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Finding the Fourth Proportional to 496,140.20, 744,210.30 and 180,556.10

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Solution

The fourth proportional to 496,140.20, 744,210.30 and 180,556.10 is: 270,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,140.20 : 744,210.30 = 180,556.10 : x
  2. Step 2: Convert to fraction form
    496,140.20/744,210.30 = 180,556.10/x
  3. Step 3: Cross multiply
    496,140.20x = 744,210.30 × 180,556.10
  4. Step 4: Simplify right side
    496,140.20x = 134,371,709,347.83
  5. Step 5: Solve for x
    x = 134,371,709,347.83/496,140.20
  6. Step 6: Final answer
    x = 270,834.15

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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.