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Finding the Fourth Proportional to 409,827.60, 614,741.40 and 407,203.20

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Solution

The fourth proportional to 409,827.60, 614,741.40 and 407,203.20 is: 610,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,827.60 : 614,741.40 = 407,203.20 : x
  2. Step 2: Convert to fraction form
    409,827.60/614,741.40 = 407,203.20/x
  3. Step 3: Cross multiply
    409,827.60x = 614,741.40 × 407,203.20
  4. Step 4: Simplify right side
    409,827.60x = 250,324,665,252.48
  5. Step 5: Solve for x
    x = 250,324,665,252.48/409,827.60
  6. Step 6: Final answer
    x = 610,804.80

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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.