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Finding the Fourth Proportional to 503,643.95, 755,776.97 and 204,127.01

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Solution

The fourth proportional to 503,643.95, 755,776.97 and 204,127.01 is: 306,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,643.95 : 755,776.97 = 204,127.01 : x
  2. Step 2: Convert to fraction form
    503,643.95/755,776.97 = 204,127.01/x
  3. Step 3: Cross multiply
    503,643.95x = 755,776.97 × 204,127.01
  4. Step 4: Simplify right side
    503,643.95x = 154,274,488,313.44
  5. Step 5: Solve for x
    x = 154,274,488,313.44/503,643.95
  6. Step 6: Final answer
    x = 306,316.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.