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Finding the Fourth Proportional to 484,079.67, 725,996.11 and 343,247.80

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Solution

The fourth proportional to 484,079.67, 725,996.11 and 343,247.80 is: 514,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,079.67 : 725,996.11 = 343,247.80 : x
  2. Step 2: Convert to fraction form
    484,079.67/725,996.11 = 343,247.80/x
  3. Step 3: Cross multiply
    484,079.67x = 725,996.11 × 343,247.80
  4. Step 4: Simplify right side
    484,079.67x = 249,196,566,707.94
  5. Step 5: Solve for x
    x = 249,196,566,707.94/484,079.67
  6. Step 6: Final answer
    x = 514,784.21

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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.