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Finding the Fourth Proportional to 315,564.80, 472,822.32 and 221,874.08

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Solution

The fourth proportional to 315,564.80, 472,822.32 and 221,874.08 is: 332,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,564.80 : 472,822.32 = 221,874.08 : x
  2. Step 2: Convert to fraction form
    315,564.80/472,822.32 = 221,874.08/x
  3. Step 3: Cross multiply
    315,564.80x = 472,822.32 × 221,874.08
  4. Step 4: Simplify right side
    315,564.80x = 104,907,017,253.47
  5. Step 5: Solve for x
    x = 104,907,017,253.47/315,564.80
  6. Step 6: Final answer
    x = 332,442.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.