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Finding the Fourth Proportional to 434,219.70, 651,329.55 and 411,410.10

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Solution

The fourth proportional to 434,219.70, 651,329.55 and 411,410.10 is: 617,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,219.70 : 651,329.55 = 411,410.10 : x
  2. Step 2: Convert to fraction form
    434,219.70/651,329.55 = 411,410.10/x
  3. Step 3: Cross multiply
    434,219.70x = 651,329.55 × 411,410.10
  4. Step 4: Simplify right side
    434,219.70x = 267,963,555,298.46
  5. Step 5: Solve for x
    x = 267,963,555,298.46/434,219.70
  6. Step 6: Final answer
    x = 617,115.15

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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.