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Finding the Fourth Proportional to 532,057.02, 797,778.34 and 363,781.14

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Solution

The fourth proportional to 532,057.02, 797,778.34 and 363,781.14 is: 545,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,057.02 : 797,778.34 = 363,781.14 : x
  2. Step 2: Convert to fraction form
    532,057.02/797,778.34 = 363,781.14/x
  3. Step 3: Cross multiply
    532,057.02x = 797,778.34 × 363,781.14
  4. Step 4: Simplify right side
    532,057.02x = 290,216,713,992.51
  5. Step 5: Solve for x
    x = 290,216,713,992.51/532,057.02
  6. Step 6: Final answer
    x = 545,461.68

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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.