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Finding the Fourth Proportional to 543,897.84, 815,616.07 and 259,259.11

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Solution

The fourth proportional to 543,897.84, 815,616.07 and 259,259.11 is: 388,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,897.84 : 815,616.07 = 259,259.11 : x
  2. Step 2: Convert to fraction form
    543,897.84/815,616.07 = 259,259.11/x
  3. Step 3: Cross multiply
    543,897.84x = 815,616.07 × 259,259.11
  4. Step 4: Simplify right side
    543,897.84x = 211,455,896,409.90
  5. Step 5: Solve for x
    x = 211,455,896,409.90/543,897.84
  6. Step 6: Final answer
    x = 388,778.70

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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.