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Finding the Fourth Proportional to 405,583.72, 608,461.26 and 152,858.88

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Solution

The fourth proportional to 405,583.72, 608,461.26 and 152,858.88 is: 229,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,583.72 : 608,461.26 = 152,858.88 : x
  2. Step 2: Convert to fraction form
    405,583.72/608,461.26 = 152,858.88/x
  3. Step 3: Cross multiply
    405,583.72x = 608,461.26 × 152,858.88
  4. Step 4: Simplify right side
    405,583.72x = 93,008,706,726.99
  5. Step 5: Solve for x
    x = 93,008,706,726.99/405,583.72
  6. Step 6: Final answer
    x = 229,320.61

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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.