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Finding the Fourth Proportional to 585,644.16, 878,460.14 and 301,414.34

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Solution

The fourth proportional to 585,644.16, 878,460.14 and 301,414.34 is: 452,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,644.16 : 878,460.14 = 301,414.34 : x
  2. Step 2: Convert to fraction form
    585,644.16/878,460.14 = 301,414.34/x
  3. Step 3: Cross multiply
    585,644.16x = 878,460.14 × 301,414.34
  4. Step 4: Simplify right side
    585,644.16x = 264,780,483,314.41
  5. Step 5: Solve for x
    x = 264,780,483,314.41/585,644.16
  6. Step 6: Final answer
    x = 452,118.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.