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Finding the Fourth Proportional to 291,785.88, 402,667.59 and 164,461.47

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Solution

The fourth proportional to 291,785.88, 402,667.59 and 164,461.47 is: 226,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,785.88 : 402,667.59 = 164,461.47 : x
  2. Step 2: Convert to fraction form
    291,785.88/402,667.59 = 164,461.47/x
  3. Step 3: Cross multiply
    291,785.88x = 402,667.59 × 164,461.47
  4. Step 4: Simplify right side
    291,785.88x = 66,223,303,772.76
  5. Step 5: Solve for x
    x = 66,223,303,772.76/291,785.88
  6. Step 6: Final answer
    x = 226,958.56

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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.