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Finding the Fourth Proportional to 411,501.67, 568,066.47 and 309,566.03

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Solution

The fourth proportional to 411,501.67, 568,066.47 and 309,566.03 is: 427,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,501.67 : 568,066.47 = 309,566.03 : x
  2. Step 2: Convert to fraction form
    411,501.67/568,066.47 = 309,566.03/x
  3. Step 3: Cross multiply
    411,501.67x = 568,066.47 × 309,566.03
  4. Step 4: Simplify right side
    411,501.67x = 175,854,079,490.50
  5. Step 5: Solve for x
    x = 175,854,079,490.50/411,501.67
  6. Step 6: Final answer
    x = 427,347.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.