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Finding the Fourth Proportional to 507,142.14, 700,788.72 and 363,674.94

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Solution

The fourth proportional to 507,142.14, 700,788.72 and 363,674.94 is: 502,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,142.14 : 700,788.72 = 363,674.94 : x
  2. Step 2: Convert to fraction form
    507,142.14/700,788.72 = 363,674.94/x
  3. Step 3: Cross multiply
    507,142.14x = 700,788.72 × 363,674.94
  4. Step 4: Simplify right side
    507,142.14x = 254,859,295,698.68
  5. Step 5: Solve for x
    x = 254,859,295,698.68/507,142.14
  6. Step 6: Final answer
    x = 502,540.17

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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.