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Finding the Fourth Proportional to 577,206.90, 864,826.20 and 476,823.60

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Solution

The fourth proportional to 577,206.90, 864,826.20 and 476,823.60 is: 714,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,206.90 : 864,826.20 = 476,823.60 : x
  2. Step 2: Convert to fraction form
    577,206.90/864,826.20 = 476,823.60/x
  3. Step 3: Cross multiply
    577,206.90x = 864,826.20 × 476,823.60
  4. Step 4: Simplify right side
    577,206.90x = 412,369,542,058.32
  5. Step 5: Solve for x
    x = 412,369,542,058.32/577,206.90
  6. Step 6: Final answer
    x = 714,422.41

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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.