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Finding the Fourth Proportional to 503,739.74, 695,157.63 and 277,383.50

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Solution

The fourth proportional to 503,739.74, 695,157.63 and 277,383.50 is: 382,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,739.74 : 695,157.63 = 277,383.50 : x
  2. Step 2: Convert to fraction form
    503,739.74/695,157.63 = 277,383.50/x
  3. Step 3: Cross multiply
    503,739.74x = 695,157.63 × 277,383.50
  4. Step 4: Simplify right side
    503,739.74x = 192,825,256,461.11
  5. Step 5: Solve for x
    x = 192,825,256,461.11/503,739.74
  6. Step 6: Final answer
    x = 382,787.46

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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.