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Finding the Fourth Proportional to 473,708.68, 653,710.10 and 258,843.82

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Solution

The fourth proportional to 473,708.68, 653,710.10 and 258,843.82 is: 357,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,708.68 : 653,710.10 = 258,843.82 : x
  2. Step 2: Convert to fraction form
    473,708.68/653,710.10 = 258,843.82/x
  3. Step 3: Cross multiply
    473,708.68x = 653,710.10 × 258,843.82
  4. Step 4: Simplify right side
    473,708.68x = 169,208,819,456.58
  5. Step 5: Solve for x
    x = 169,208,819,456.58/473,708.68
  6. Step 6: Final answer
    x = 357,200.17

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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.