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Finding the Fourth Proportional to 621,709.60, 933,025.20 and 411,277.60

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Solution

The fourth proportional to 621,709.60, 933,025.20 and 411,277.60 is: 617,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,709.60 : 933,025.20 = 411,277.60 : x
  2. Step 2: Convert to fraction form
    621,709.60/933,025.20 = 411,277.60/x
  3. Step 3: Cross multiply
    621,709.60x = 933,025.20 × 411,277.60
  4. Step 4: Simplify right side
    621,709.60x = 383,732,364,995.52
  5. Step 5: Solve for x
    x = 383,732,364,995.52/621,709.60
  6. Step 6: Final answer
    x = 617,221.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.