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Finding the Fourth Proportional to 591,201.40, 886,802.10 and 413,908.60

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Solution

The fourth proportional to 591,201.40, 886,802.10 and 413,908.60 is: 620,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,201.40 : 886,802.10 = 413,908.60 : x
  2. Step 2: Convert to fraction form
    591,201.40/886,802.10 = 413,908.60/x
  3. Step 3: Cross multiply
    591,201.40x = 886,802.10 × 413,908.60
  4. Step 4: Simplify right side
    591,201.40x = 367,055,015,688.06
  5. Step 5: Solve for x
    x = 367,055,015,688.06/591,201.40
  6. Step 6: Final answer
    x = 620,862.90

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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.