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Finding the Fourth Proportional to 473,717.20, 653,721.81 and 258,852.31

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Solution

The fourth proportional to 473,717.20, 653,721.81 and 258,852.31 is: 357,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,717.20 : 653,721.81 = 258,852.31 : x
  2. Step 2: Convert to fraction form
    473,717.20/653,721.81 = 258,852.31/x
  3. Step 3: Cross multiply
    473,717.20x = 653,721.81 × 258,852.31
  4. Step 4: Simplify right side
    473,717.20x = 169,217,400,615.88
  5. Step 5: Solve for x
    x = 169,217,400,615.88/473,717.20
  6. Step 6: Final answer
    x = 357,211.86

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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.