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Finding the Fourth Proportional to 473,053.97, 652,809.78 and 258,192.16

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Solution

The fourth proportional to 473,053.97, 652,809.78 and 258,192.16 is: 356,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,053.97 : 652,809.78 = 258,192.16 : x
  2. Step 2: Convert to fraction form
    473,053.97/652,809.78 = 258,192.16/x
  3. Step 3: Cross multiply
    473,053.97x = 652,809.78 × 258,192.16
  4. Step 4: Simplify right side
    473,053.97x = 168,550,365,535.30
  5. Step 5: Solve for x
    x = 168,550,365,535.30/473,053.97
  6. Step 6: Final answer
    x = 356,302.61

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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.