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Finding the Fourth Proportional to 815,420.83, 1,125,843.69 and 509,634.66

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Solution

The fourth proportional to 815,420.83, 1,125,843.69 and 509,634.66 is: 703,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,420.83 : 1,125,843.69 = 509,634.66 : x
  2. Step 2: Convert to fraction form
    815,420.83/1,125,843.69 = 509,634.66/x
  3. Step 3: Cross multiply
    815,420.83x = 1,125,843.69 × 509,634.66
  4. Step 4: Simplify right side
    815,420.83x = 573,768,961,944.38
  5. Step 5: Solve for x
    x = 573,768,961,944.38/815,420.83
  6. Step 6: Final answer
    x = 703,647.67

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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.