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Finding the Fourth Proportional to 291,333.39, 402,047.60 and 164,013.54

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Solution

The fourth proportional to 291,333.39, 402,047.60 and 164,013.54 is: 226,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,333.39 : 402,047.60 = 164,013.54 : x
  2. Step 2: Convert to fraction form
    291,333.39/402,047.60 = 164,013.54/x
  3. Step 3: Cross multiply
    291,333.39x = 402,047.60 × 164,013.54
  4. Step 4: Simplify right side
    291,333.39x = 65,941,249,304.44
  5. Step 5: Solve for x
    x = 65,941,249,304.44/291,333.39
  6. Step 6: Final answer
    x = 226,342.92

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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.