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Finding the Fourth Proportional to 503,651.60, 695,037.92 and 277,297.10

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Solution

The fourth proportional to 503,651.60, 695,037.92 and 277,297.10 is: 382,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,651.60 : 695,037.92 = 277,297.10 : x
  2. Step 2: Convert to fraction form
    503,651.60/695,037.92 = 277,297.10/x
  3. Step 3: Cross multiply
    503,651.60x = 695,037.92 × 277,297.10
  4. Step 4: Simplify right side
    503,651.60x = 192,731,994,744.36
  5. Step 5: Solve for x
    x = 192,731,994,744.36/503,651.60
  6. Step 6: Final answer
    x = 382,669.28

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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.