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Finding the Fourth Proportional to 406,860.30, 610,144.65 and 207,114.30

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Solution

The fourth proportional to 406,860.30, 610,144.65 and 207,114.30 is: 310,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,860.30 : 610,144.65 = 207,114.30 : x
  2. Step 2: Convert to fraction form
    406,860.30/610,144.65 = 207,114.30/x
  3. Step 3: Cross multiply
    406,860.30x = 610,144.65 × 207,114.30
  4. Step 4: Simplify right side
    406,860.30x = 126,369,682,083.50
  5. Step 5: Solve for x
    x = 126,369,682,083.50/406,860.30
  6. Step 6: Final answer
    x = 310,597.23

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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.