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Finding the Fourth Proportional to 400,145.40, 600,218.10 and 386,148.60

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Solution

The fourth proportional to 400,145.40, 600,218.10 and 386,148.60 is: 579,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,145.40 : 600,218.10 = 386,148.60 : x
  2. Step 2: Convert to fraction form
    400,145.40/600,218.10 = 386,148.60/x
  3. Step 3: Cross multiply
    400,145.40x = 600,218.10 × 386,148.60
  4. Step 4: Simplify right side
    400,145.40x = 231,773,379,009.66
  5. Step 5: Solve for x
    x = 231,773,379,009.66/400,145.40
  6. Step 6: Final answer
    x = 579,222.90

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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.