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Finding the Fourth Proportional to 455,041.60, 682,562.40 and 420,827.20

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Solution

The fourth proportional to 455,041.60, 682,562.40 and 420,827.20 is: 631,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,041.60 : 682,562.40 = 420,827.20 : x
  2. Step 2: Convert to fraction form
    455,041.60/682,562.40 = 420,827.20/x
  3. Step 3: Cross multiply
    455,041.60x = 682,562.40 × 420,827.20
  4. Step 4: Simplify right side
    455,041.60x = 287,240,823,617.28
  5. Step 5: Solve for x
    x = 287,240,823,617.28/455,041.60
  6. Step 6: Final answer
    x = 631,240.80

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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.