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Finding the Fourth Proportional to 580,114.80, 870,828.30 and 313,738.20

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Solution

The fourth proportional to 580,114.80, 870,828.30 and 313,738.20 is: 470,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,114.80 : 870,828.30 = 313,738.20 : x
  2. Step 2: Convert to fraction form
    580,114.80/870,828.30 = 313,738.20/x
  3. Step 3: Cross multiply
    580,114.80x = 870,828.30 × 313,738.20
  4. Step 4: Simplify right side
    580,114.80x = 273,212,103,351.06
  5. Step 5: Solve for x
    x = 273,212,103,351.06/580,114.80
  6. Step 6: Final answer
    x = 470,962.13

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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.