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Finding the Fourth Proportional to 503,252.37, 755,063.82 and 233,509.59

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Solution

The fourth proportional to 503,252.37, 755,063.82 and 233,509.59 is: 350,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,252.37 : 755,063.82 = 233,509.59 : x
  2. Step 2: Convert to fraction form
    503,252.37/755,063.82 = 233,509.59/x
  3. Step 3: Cross multiply
    503,252.37x = 755,063.82 × 233,509.59
  4. Step 4: Simplify right side
    503,252.37x = 176,314,643,032.03
  5. Step 5: Solve for x
    x = 176,314,643,032.03/503,252.37
  6. Step 6: Final answer
    x = 350,350.35

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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.