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Finding the Fourth Proportional to 403,421.40, 605,132.10 and 206,813.40

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Solution

The fourth proportional to 403,421.40, 605,132.10 and 206,813.40 is: 310,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,421.40 : 605,132.10 = 206,813.40 : x
  2. Step 2: Convert to fraction form
    403,421.40/605,132.10 = 206,813.40/x
  3. Step 3: Cross multiply
    403,421.40x = 605,132.10 × 206,813.40
  4. Step 4: Simplify right side
    403,421.40x = 125,149,427,050.14
  5. Step 5: Solve for x
    x = 125,149,427,050.14/403,421.40
  6. Step 6: Final answer
    x = 310,220.10

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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.