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Finding the Fourth Proportional to 472,360, 652,089.51 and 327,275.79

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Solution

The fourth proportional to 472,360, 652,089.51 and 327,275.79 is: 451,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,360 : 652,089.51 = 327,275.79 : x
  2. Step 2: Convert to fraction form
    472,360/652,089.51 = 327,275.79/x
  3. Step 3: Cross multiply
    472,360x = 652,089.51 × 327,275.79
  4. Step 4: Simplify right side
    472,360x = 213,413,109,535.96
  5. Step 5: Solve for x
    x = 213,413,109,535.96/472,360
  6. Step 6: Final answer
    x = 451,801.82

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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.