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Finding the Fourth Proportional to 291,947.58, 402,878.88 and 162,889.47

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Solution

The fourth proportional to 291,947.58, 402,878.88 and 162,889.47 is: 224,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,947.58 : 402,878.88 = 162,889.47 : x
  2. Step 2: Convert to fraction form
    291,947.58/402,878.88 = 162,889.47/x
  3. Step 3: Cross multiply
    291,947.58x = 402,878.88 × 162,889.47
  4. Step 4: Simplify right side
    291,947.58x = 65,624,727,237.39
  5. Step 5: Solve for x
    x = 65,624,727,237.39/291,947.58
  6. Step 6: Final answer
    x = 224,782.57

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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.