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Finding the Fourth Proportional to 473,664.96, 654,094.17 and 304,194.33

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Solution

The fourth proportional to 473,664.96, 654,094.17 and 304,194.33 is: 420,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,664.96 : 654,094.17 = 304,194.33 : x
  2. Step 2: Convert to fraction form
    473,664.96/654,094.17 = 304,194.33/x
  3. Step 3: Cross multiply
    473,664.96x = 654,094.17 × 304,194.33
  4. Step 4: Simplify right side
    473,664.96x = 198,971,737,800.06
  5. Step 5: Solve for x
    x = 198,971,737,800.06/473,664.96
  6. Step 6: Final answer
    x = 420,068.52

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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.