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Finding the Fourth Proportional to 472,980.24, 652,714.96 and 258,124.80

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Solution

The fourth proportional to 472,980.24, 652,714.96 and 258,124.80 is: 356,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,980.24 : 652,714.96 = 258,124.80 : x
  2. Step 2: Convert to fraction form
    472,980.24/652,714.96 = 258,124.80/x
  3. Step 3: Cross multiply
    472,980.24x = 652,714.96 × 258,124.80
  4. Step 4: Simplify right side
    472,980.24x = 168,481,918,507.01
  5. Step 5: Solve for x
    x = 168,481,918,507.01/472,980.24
  6. Step 6: Final answer
    x = 356,213.44

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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.