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Finding the Fourth Proportional to 463,429.40, 695,144.10 and 363,896.60

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Solution

The fourth proportional to 463,429.40, 695,144.10 and 363,896.60 is: 545,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,429.40 : 695,144.10 = 363,896.60 : x
  2. Step 2: Convert to fraction form
    463,429.40/695,144.10 = 363,896.60/x
  3. Step 3: Cross multiply
    463,429.40x = 695,144.10 × 363,896.60
  4. Step 4: Simplify right side
    463,429.40x = 252,960,574,500.06
  5. Step 5: Solve for x
    x = 252,960,574,500.06/463,429.40
  6. Step 6: Final answer
    x = 545,844.90

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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.