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Finding the Fourth Proportional to 463,619.80, 695,429.70 and 214,301.80

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Solution

The fourth proportional to 463,619.80, 695,429.70 and 214,301.80 is: 321,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,619.80 : 695,429.70 = 214,301.80 : x
  2. Step 2: Convert to fraction form
    463,619.80/695,429.70 = 214,301.80/x
  3. Step 3: Cross multiply
    463,619.80x = 695,429.70 × 214,301.80
  4. Step 4: Simplify right side
    463,619.80x = 149,031,836,483.46
  5. Step 5: Solve for x
    x = 149,031,836,483.46/463,619.80
  6. Step 6: Final answer
    x = 321,452.70

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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.