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Finding the Fourth Proportional to 437,898.20, 656,069.70 and 409,904.60

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Solution

The fourth proportional to 437,898.20, 656,069.70 and 409,904.60 is: 614,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,898.20 : 656,069.70 = 409,904.60 : x
  2. Step 2: Convert to fraction form
    437,898.20/656,069.70 = 409,904.60/x
  3. Step 3: Cross multiply
    437,898.20x = 656,069.70 × 409,904.60
  4. Step 4: Simplify right side
    437,898.20x = 268,925,987,950.62
  5. Step 5: Solve for x
    x = 268,925,987,950.62/437,898.20
  6. Step 6: Final answer
    x = 614,129.01

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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.