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Finding the Fourth Proportional to 472,724.07, 652,363.38 and 257,865.09

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Solution

The fourth proportional to 472,724.07, 652,363.38 and 257,865.09 is: 355,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,724.07 : 652,363.38 = 257,865.09 : x
  2. Step 2: Convert to fraction form
    472,724.07/652,363.38 = 257,865.09/x
  3. Step 3: Cross multiply
    472,724.07x = 652,363.38 × 257,865.09
  4. Step 4: Simplify right side
    472,724.07x = 168,221,741,696.40
  5. Step 5: Solve for x
    x = 168,221,741,696.40/472,724.07
  6. Step 6: Final answer
    x = 355,856.10

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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.