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Finding the Fourth Proportional to 291,059.52, 401,653.44 and 176,406

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Solution

The fourth proportional to 291,059.52, 401,653.44 and 176,406 is: 243,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,059.52 : 401,653.44 = 176,406 : x
  2. Step 2: Convert to fraction form
    291,059.52/401,653.44 = 176,406/x
  3. Step 3: Cross multiply
    291,059.52x = 401,653.44 × 176,406
  4. Step 4: Simplify right side
    291,059.52x = 70,854,076,736.64
  5. Step 5: Solve for x
    x = 70,854,076,736.64/291,059.52
  6. Step 6: Final answer
    x = 243,435.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.