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Finding the Fourth Proportional to 472,493.52, 652,039.47 and 257,633.06

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Solution

The fourth proportional to 472,493.52, 652,039.47 and 257,633.06 is: 355,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,493.52 : 652,039.47 = 257,633.06 : x
  2. Step 2: Convert to fraction form
    472,493.52/652,039.47 = 257,633.06/x
  3. Step 3: Cross multiply
    472,493.52x = 652,039.47 × 257,633.06
  4. Step 4: Simplify right side
    472,493.52x = 167,986,920,636.68
  5. Step 5: Solve for x
    x = 167,986,920,636.68/472,493.52
  6. Step 6: Final answer
    x = 355,532.75

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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.