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Finding the Fourth Proportional to 305,073.64, 457,616.52 and 214,746.92

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Solution

The fourth proportional to 305,073.64, 457,616.52 and 214,746.92 is: 322,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,073.64 : 457,616.52 = 214,746.92 : x
  2. Step 2: Convert to fraction form
    305,073.64/457,616.52 = 214,746.92/x
  3. Step 3: Cross multiply
    305,073.64x = 457,616.52 × 214,746.92
  4. Step 4: Simplify right side
    305,073.64x = 98,271,738,211.12
  5. Step 5: Solve for x
    x = 98,271,738,211.12/305,073.64
  6. Step 6: Final answer
    x = 322,124.65

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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.