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Finding the Fourth Proportional to 291,569.52, 402,358.32 and 164,237.52

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Solution

The fourth proportional to 291,569.52, 402,358.32 and 164,237.52 is: 226,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,569.52 : 402,358.32 = 164,237.52 : x
  2. Step 2: Convert to fraction form
    291,569.52/402,358.32 = 164,237.52/x
  3. Step 3: Cross multiply
    291,569.52x = 402,358.32 × 164,237.52
  4. Step 4: Simplify right side
    291,569.52x = 66,082,332,628.17
  5. Step 5: Solve for x
    x = 66,082,332,628.17/291,569.52
  6. Step 6: Final answer
    x = 226,643.49

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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.