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Finding the Fourth Proportional to 467,838.30, 645,616.38 and 252,977.82

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Solution

The fourth proportional to 467,838.30, 645,616.38 and 252,977.82 is: 349,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,838.30 : 645,616.38 = 252,977.82 : x
  2. Step 2: Convert to fraction form
    467,838.30/645,616.38 = 252,977.82/x
  3. Step 3: Cross multiply
    467,838.30x = 645,616.38 × 252,977.82
  4. Step 4: Simplify right side
    467,838.30x = 163,326,624,368.69
  5. Step 5: Solve for x
    x = 163,326,624,368.69/467,838.30
  6. Step 6: Final answer
    x = 349,109.14

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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.