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Finding the Fourth Proportional to 540,937.60, 811,406.40 and 414,966.40

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Solution

The fourth proportional to 540,937.60, 811,406.40 and 414,966.40 is: 622,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,937.60 : 811,406.40 = 414,966.40 : x
  2. Step 2: Convert to fraction form
    540,937.60/811,406.40 = 414,966.40/x
  3. Step 3: Cross multiply
    540,937.60x = 811,406.40 × 414,966.40
  4. Step 4: Simplify right side
    540,937.60x = 336,706,392,744.96
  5. Step 5: Solve for x
    x = 336,706,392,744.96/540,937.60
  6. Step 6: Final answer
    x = 622,449.60

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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.