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Finding the Fourth Proportional to 473,186.35, 653,007.05 and 258,335.47

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Solution

The fourth proportional to 473,186.35, 653,007.05 and 258,335.47 is: 356,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,186.35 : 653,007.05 = 258,335.47 : x
  2. Step 2: Convert to fraction form
    473,186.35/653,007.05 = 258,335.47/x
  3. Step 3: Cross multiply
    473,186.35x = 653,007.05 × 258,335.47
  4. Step 4: Simplify right side
    473,186.35x = 168,694,883,175.06
  5. Step 5: Solve for x
    x = 168,694,883,175.06/473,186.35
  6. Step 6: Final answer
    x = 356,508.35

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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.