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Finding the Fourth Proportional to 501,310.14, 751,778.10 and 201,689.52

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Solution

The fourth proportional to 501,310.14, 751,778.10 and 201,689.52 is: 302,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,310.14 : 751,778.10 = 201,689.52 : x
  2. Step 2: Convert to fraction form
    501,310.14/751,778.10 = 201,689.52/x
  3. Step 3: Cross multiply
    501,310.14x = 751,778.10 × 201,689.52
  4. Step 4: Simplify right side
    501,310.14x = 151,625,764,135.51
  5. Step 5: Solve for x
    x = 151,625,764,135.51/501,310.14
  6. Step 6: Final answer
    x = 302,459.00

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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.