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Finding the Fourth Proportional to 506,069.37, 698,263.23 and 291,209.43

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Solution

The fourth proportional to 506,069.37, 698,263.23 and 291,209.43 is: 401,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,069.37 : 698,263.23 = 291,209.43 : x
  2. Step 2: Convert to fraction form
    506,069.37/698,263.23 = 291,209.43/x
  3. Step 3: Cross multiply
    506,069.37x = 698,263.23 × 291,209.43
  4. Step 4: Simplify right side
    506,069.37x = 203,340,837,198.26
  5. Step 5: Solve for x
    x = 203,340,837,198.26/506,069.37
  6. Step 6: Final answer
    x = 401,804.28

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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.