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Finding the Fourth Proportional to 503,741.16, 695,137.86 and 277,344.36

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Solution

The fourth proportional to 503,741.16, 695,137.86 and 277,344.36 is: 382,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,741.16 : 695,137.86 = 277,344.36 : x
  2. Step 2: Convert to fraction form
    503,741.16/695,137.86 = 277,344.36/x
  3. Step 3: Cross multiply
    503,741.16x = 695,137.86 × 277,344.36
  4. Step 4: Simplify right side
    503,741.16x = 192,792,564,893.47
  5. Step 5: Solve for x
    x = 192,792,564,893.47/503,741.16
  6. Step 6: Final answer
    x = 382,721.49

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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.