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Finding the Fourth Proportional to 436,257.60, 654,429.60 and 151,904.40

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Solution

The fourth proportional to 436,257.60, 654,429.60 and 151,904.40 is: 227,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,257.60 : 654,429.60 = 151,904.40 : x
  2. Step 2: Convert to fraction form
    436,257.60/654,429.60 = 151,904.40/x
  3. Step 3: Cross multiply
    436,257.60x = 654,429.60 × 151,904.40
  4. Step 4: Simplify right side
    436,257.60x = 99,410,735,730.24
  5. Step 5: Solve for x
    x = 99,410,735,730.24/436,257.60
  6. Step 6: Final answer
    x = 227,871.64

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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.