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Finding the Fourth Proportional to 414,025.60, 621,038.40 and 411,401.20

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Solution

The fourth proportional to 414,025.60, 621,038.40 and 411,401.20 is: 617,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,025.60 : 621,038.40 = 411,401.20 : x
  2. Step 2: Convert to fraction form
    414,025.60/621,038.40 = 411,401.20/x
  3. Step 3: Cross multiply
    414,025.60x = 621,038.40 × 411,401.20
  4. Step 4: Simplify right side
    414,025.60x = 255,495,943,006.08
  5. Step 5: Solve for x
    x = 255,495,943,006.08/414,025.60
  6. Step 6: Final answer
    x = 617,101.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.