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Finding the Fourth Proportional to 529,135.62, 730,093.14 and 314,347.92

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Solution

The fourth proportional to 529,135.62, 730,093.14 and 314,347.92 is: 433,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,135.62 : 730,093.14 = 314,347.92 : x
  2. Step 2: Convert to fraction form
    529,135.62/730,093.14 = 314,347.92/x
  3. Step 3: Cross multiply
    529,135.62x = 730,093.14 × 314,347.92
  4. Step 4: Simplify right side
    529,135.62x = 229,503,259,965.27
  5. Step 5: Solve for x
    x = 229,503,259,965.27/529,135.62
  6. Step 6: Final answer
    x = 433,732.40

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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.