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Finding the Fourth Proportional to 472,848.37, 652,532.90 and 257,992.97

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Solution

The fourth proportional to 472,848.37, 652,532.90 and 257,992.97 is: 356,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,848.37 : 652,532.90 = 257,992.97 : x
  2. Step 2: Convert to fraction form
    472,848.37/652,532.90 = 257,992.97/x
  3. Step 3: Cross multiply
    472,848.37x = 652,532.90 × 257,992.97
  4. Step 4: Simplify right side
    472,848.37x = 168,348,896,341.08
  5. Step 5: Solve for x
    x = 168,348,896,341.08/472,848.37
  6. Step 6: Final answer
    x = 356,031.46

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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.