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Finding the Fourth Proportional to 503,837.70, 706,305.90 and 503,837.70

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Solution

The fourth proportional to 503,837.70, 706,305.90 and 503,837.70 is: 706,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,837.70 : 706,305.90 = 503,837.70 : x
  2. Step 2: Convert to fraction form
    503,837.70/706,305.90 = 503,837.70/x
  3. Step 3: Cross multiply
    503,837.70x = 706,305.90 × 503,837.70
  4. Step 4: Simplify right side
    503,837.70x = 355,863,540,152.43
  5. Step 5: Solve for x
    x = 355,863,540,152.43/503,837.70
  6. Step 6: Final answer
    x = 706,305.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.