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Finding the Fourth Proportional to 650,603.14, 897,202.47 and 507,310.90

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Solution

The fourth proportional to 650,603.14, 897,202.47 and 507,310.90 is: 699,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,603.14 : 897,202.47 = 507,310.90 : x
  2. Step 2: Convert to fraction form
    650,603.14/897,202.47 = 507,310.90/x
  3. Step 3: Cross multiply
    650,603.14x = 897,202.47 × 507,310.90
  4. Step 4: Simplify right side
    650,603.14x = 455,160,592,197.33
  5. Step 5: Solve for x
    x = 455,160,592,197.33/650,603.14
  6. Step 6: Final answer
    x = 699,597.91

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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.