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Finding the Fourth Proportional to 473,712.19, 653,714.92 and 258,847.31

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Solution

The fourth proportional to 473,712.19, 653,714.92 and 258,847.31 is: 357,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,712.19 : 653,714.92 = 258,847.31 : x
  2. Step 2: Convert to fraction form
    473,712.19/653,714.92 = 258,847.31/x
  3. Step 3: Cross multiply
    473,712.19x = 653,714.92 × 258,847.31
  4. Step 4: Simplify right side
    473,712.19x = 169,212,348,548.87
  5. Step 5: Solve for x
    x = 169,212,348,548.87/473,712.19
  6. Step 6: Final answer
    x = 357,204.97

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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.