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Finding the Fourth Proportional to 503,735.70, 706,163.10 and 503,735.70

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Solution

The fourth proportional to 503,735.70, 706,163.10 and 503,735.70 is: 706,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,735.70 : 706,163.10 = 503,735.70 : x
  2. Step 2: Convert to fraction form
    503,735.70/706,163.10 = 503,735.70/x
  3. Step 3: Cross multiply
    503,735.70x = 706,163.10 × 503,735.70
  4. Step 4: Simplify right side
    503,735.70x = 355,719,563,492.67
  5. Step 5: Solve for x
    x = 355,719,563,492.67/503,735.70
  6. Step 6: Final answer
    x = 706,163.10

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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.