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Finding the Fourth Proportional to 580,498.80, 870,412.98 and 225,097.64

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Solution

The fourth proportional to 580,498.80, 870,412.98 and 225,097.64 is: 337,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,498.80 : 870,412.98 = 225,097.64 : x
  2. Step 2: Convert to fraction form
    580,498.80/870,412.98 = 225,097.64/x
  3. Step 3: Cross multiply
    580,498.80x = 870,412.98 × 225,097.64
  4. Step 4: Simplify right side
    580,498.80x = 195,927,907,623.37
  5. Step 5: Solve for x
    x = 195,927,907,623.37/580,498.80
  6. Step 6: Final answer
    x = 337,516.47

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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.