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Finding the Fourth Proportional to 519,897, 717,459.78 and 281,433

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Solution

The fourth proportional to 519,897, 717,459.78 and 281,433 is: 388,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,897 : 717,459.78 = 281,433 : x
  2. Step 2: Convert to fraction form
    519,897/717,459.78 = 281,433/x
  3. Step 3: Cross multiply
    519,897x = 717,459.78 × 281,433
  4. Step 4: Simplify right side
    519,897x = 201,916,858,264.74
  5. Step 5: Solve for x
    x = 201,916,858,264.74/519,897
  6. Step 6: Final answer
    x = 388,378.58

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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.