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Finding the Fourth Proportional to 605,225.50, 907,575.67 and 205,758.98

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Solution

The fourth proportional to 605,225.50, 907,575.67 and 205,758.98 is: 308,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,225.50 : 907,575.67 = 205,758.98 : x
  2. Step 2: Convert to fraction form
    605,225.50/907,575.67 = 205,758.98/x
  3. Step 3: Cross multiply
    605,225.50x = 907,575.67 × 205,758.98
  4. Step 4: Simplify right side
    605,225.50x = 186,741,844,132.02
  5. Step 5: Solve for x
    x = 186,741,844,132.02/605,225.50
  6. Step 6: Final answer
    x = 308,549.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.