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Finding the Fourth Proportional to 580,216.71, 870,127.95 and 201,048.96

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Solution

The fourth proportional to 580,216.71, 870,127.95 and 201,048.96 is: 301,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,216.71 : 870,127.95 = 201,048.96 : x
  2. Step 2: Convert to fraction form
    580,216.71/870,127.95 = 201,048.96/x
  3. Step 3: Cross multiply
    580,216.71x = 870,127.95 × 201,048.96
  4. Step 4: Simplify right side
    580,216.71x = 174,938,319,414.43
  5. Step 5: Solve for x
    x = 174,938,319,414.43/580,216.71
  6. Step 6: Final answer
    x = 301,505.14

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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.