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Finding the Fourth Proportional to 410,061.40, 615,092.10 and 343,706.20

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Solution

The fourth proportional to 410,061.40, 615,092.10 and 343,706.20 is: 515,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.40 : 615,092.10 = 343,706.20 : x
  2. Step 2: Convert to fraction form
    410,061.40/615,092.10 = 343,706.20/x
  3. Step 3: Cross multiply
    410,061.40x = 615,092.10 × 343,706.20
  4. Step 4: Simplify right side
    410,061.40x = 211,410,968,341.02
  5. Step 5: Solve for x
    x = 211,410,968,341.02/410,061.40
  6. Step 6: Final answer
    x = 515,559.30

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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.