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Finding the Fourth Proportional to 405,526, 608,422.27 and 165,841.52

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Solution

The fourth proportional to 405,526, 608,422.27 and 165,841.52 is: 248,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,526 : 608,422.27 = 165,841.52 : x
  2. Step 2: Convert to fraction form
    405,526/608,422.27 = 165,841.52/x
  3. Step 3: Cross multiply
    405,526x = 608,422.27 × 165,841.52
  4. Step 4: Simplify right side
    405,526x = 100,901,674,058.65
  5. Step 5: Solve for x
    x = 100,901,674,058.65/405,526
  6. Step 6: Final answer
    x = 248,816.78

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