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Finding the Fourth Proportional to 473,116.20, 652,876.74 and 258,265.32

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Solution

The fourth proportional to 473,116.20, 652,876.74 and 258,265.32 is: 356,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,116.20 : 652,876.74 = 258,265.32 : x
  2. Step 2: Convert to fraction form
    473,116.20/652,876.74 = 258,265.32/x
  3. Step 3: Cross multiply
    473,116.20x = 652,876.74 × 258,265.32
  4. Step 4: Simplify right side
    473,116.20x = 168,615,420,176.66
  5. Step 5: Solve for x
    x = 168,615,420,176.66/473,116.20
  6. Step 6: Final answer
    x = 356,393.25

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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.