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Finding the Fourth Proportional to 410,362.40, 614,143.20 and 343,877.60

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Solution

The fourth proportional to 410,362.40, 614,143.20 and 343,877.60 is: 514,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,362.40 : 614,143.20 = 343,877.60 : x
  2. Step 2: Convert to fraction form
    410,362.40/614,143.20 = 343,877.60/x
  3. Step 3: Cross multiply
    410,362.40x = 614,143.20 × 343,877.60
  4. Step 4: Simplify right side
    410,362.40x = 211,190,089,672.32
  5. Step 5: Solve for x
    x = 211,190,089,672.32/410,362.40
  6. Step 6: Final answer
    x = 514,642.89

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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.