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Finding the Fourth Proportional to 458,536.20, 687,804.30 and 411,880.20

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Solution

The fourth proportional to 458,536.20, 687,804.30 and 411,880.20 is: 617,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,536.20 : 687,804.30 = 411,880.20 : x
  2. Step 2: Convert to fraction form
    458,536.20/687,804.30 = 411,880.20/x
  3. Step 3: Cross multiply
    458,536.20x = 687,804.30 × 411,880.20
  4. Step 4: Simplify right side
    458,536.20x = 283,292,972,644.86
  5. Step 5: Solve for x
    x = 283,292,972,644.86/458,536.20
  6. Step 6: Final answer
    x = 617,820.30

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1.5x scale

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.