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Finding the Fourth Proportional to 437,878.56, 657,109.97 and 153,568.86

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Solution

The fourth proportional to 437,878.56, 657,109.97 and 153,568.86 is: 230,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,878.56 : 657,109.97 = 153,568.86 : x
  2. Step 2: Convert to fraction form
    437,878.56/657,109.97 = 153,568.86/x
  3. Step 3: Cross multiply
    437,878.56x = 657,109.97 × 153,568.86
  4. Step 4: Simplify right side
    437,878.56x = 100,911,630,027.65
  5. Step 5: Solve for x
    x = 100,911,630,027.65/437,878.56
  6. Step 6: Final answer
    x = 230,455.75

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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.