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Finding the Fourth Proportional to 580,175.49, 870,050.61 and 200,998.29

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Solution

The fourth proportional to 580,175.49, 870,050.61 and 200,998.29 is: 301,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,175.49 : 870,050.61 = 200,998.29 : x
  2. Step 2: Convert to fraction form
    580,175.49/870,050.61 = 200,998.29/x
  3. Step 3: Cross multiply
    580,175.49x = 870,050.61 × 200,998.29
  4. Step 4: Simplify right side
    580,175.49x = 174,878,684,823.46
  5. Step 5: Solve for x
    x = 174,878,684,823.46/580,175.49
  6. Step 6: Final answer
    x = 301,423.77

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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.