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Finding the Fourth Proportional to 410,002.60, 615,263.10 and 241,522.60

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Solution

The fourth proportional to 410,002.60, 615,263.10 and 241,522.60 is: 362,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,002.60 : 615,263.10 = 241,522.60 : x
  2. Step 2: Convert to fraction form
    410,002.60/615,263.10 = 241,522.60/x
  3. Step 3: Cross multiply
    410,002.60x = 615,263.10 × 241,522.60
  4. Step 4: Simplify right side
    410,002.60x = 148,599,943,596.06
  5. Step 5: Solve for x
    x = 148,599,943,596.06/410,002.60
  6. Step 6: Final answer
    x = 362,436.59

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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.