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Finding the Fourth Proportional to 577,954.40, 865,765.20 and 400,661.60

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Solution

The fourth proportional to 577,954.40, 865,765.20 and 400,661.60 is: 600,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,954.40 : 865,765.20 = 400,661.60 : x
  2. Step 2: Convert to fraction form
    577,954.40/865,765.20 = 400,661.60/x
  3. Step 3: Cross multiply
    577,954.40x = 865,765.20 × 400,661.60
  4. Step 4: Simplify right side
    577,954.40x = 346,878,870,256.32
  5. Step 5: Solve for x
    x = 346,878,870,256.32/577,954.40
  6. Step 6: Final answer
    x = 600,183.80

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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.