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Finding the Fourth Proportional to 472,533.72, 652,112.28 and 257,685.54

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Solution

The fourth proportional to 472,533.72, 652,112.28 and 257,685.54 is: 355,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,533.72 : 652,112.28 = 257,685.54 : x
  2. Step 2: Convert to fraction form
    472,533.72/652,112.28 = 257,685.54/x
  3. Step 3: Cross multiply
    472,533.72x = 652,112.28 × 257,685.54
  4. Step 4: Simplify right side
    472,533.72x = 168,039,905,012.43
  5. Step 5: Solve for x
    x = 168,039,905,012.43/472,533.72
  6. Step 6: Final answer
    x = 355,614.63

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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.