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Finding the Fourth Proportional to 486,298.20, 727,697.70 and 328,834.20

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Solution

The fourth proportional to 486,298.20, 727,697.70 and 328,834.20 is: 492,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,298.20 : 727,697.70 = 328,834.20 : x
  2. Step 2: Convert to fraction form
    486,298.20/727,697.70 = 328,834.20/x
  3. Step 3: Cross multiply
    486,298.20x = 727,697.70 × 328,834.20
  4. Step 4: Simplify right side
    486,298.20x = 239,291,891,021.34
  5. Step 5: Solve for x
    x = 239,291,891,021.34/486,298.20
  6. Step 6: Final answer
    x = 492,068.22

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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.