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Finding the Fourth Proportional to 291,574.92, 402,371.64 and 164,291.52

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Solution

The fourth proportional to 291,574.92, 402,371.64 and 164,291.52 is: 226,721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,574.92 : 402,371.64 = 164,291.52 : x
  2. Step 2: Convert to fraction form
    291,574.92/402,371.64 = 164,291.52/x
  3. Step 3: Cross multiply
    291,574.92x = 402,371.64 × 164,291.52
  4. Step 4: Simplify right side
    291,574.92x = 66,106,248,340.49
  5. Step 5: Solve for x
    x = 66,106,248,340.49/291,574.92
  6. Step 6: Final answer
    x = 226,721.31

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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.