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Finding the Fourth Proportional to 585,847.47, 877,352.09 and 405,427.30

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Solution

The fourth proportional to 585,847.47, 877,352.09 and 405,427.30 is: 607,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,847.47 : 877,352.09 = 405,427.30 : x
  2. Step 2: Convert to fraction form
    585,847.47/877,352.09 = 405,427.30/x
  3. Step 3: Cross multiply
    585,847.47x = 877,352.09 × 405,427.30
  4. Step 4: Simplify right side
    585,847.47x = 355,702,488,998.06
  5. Step 5: Solve for x
    x = 355,702,488,998.06/585,847.47
  6. Step 6: Final answer
    x = 607,158.87

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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.