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Finding the Fourth Proportional to 529,494.61, 730,707.37 and 287,777.77

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Solution

The fourth proportional to 529,494.61, 730,707.37 and 287,777.77 is: 397,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,494.61 : 730,707.37 = 287,777.77 : x
  2. Step 2: Convert to fraction form
    529,494.61/730,707.37 = 287,777.77/x
  3. Step 3: Cross multiply
    529,494.61x = 730,707.37 × 287,777.77
  4. Step 4: Simplify right side
    529,494.61x = 210,281,337,461.17
  5. Step 5: Solve for x
    x = 210,281,337,461.17/529,494.61
  6. Step 6: Final answer
    x = 397,135.94

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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.