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Finding the Fourth Proportional to 580,048.51, 870,072.83 and 180,721.48

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Solution

The fourth proportional to 580,048.51, 870,072.83 and 180,721.48 is: 271,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,048.51 : 870,072.83 = 180,721.48 : x
  2. Step 2: Convert to fraction form
    580,048.51/870,072.83 = 180,721.48/x
  3. Step 3: Cross multiply
    580,048.51x = 870,072.83 × 180,721.48
  4. Step 4: Simplify right side
    580,048.51x = 157,240,849,545.39
  5. Step 5: Solve for x
    x = 157,240,849,545.39/580,048.51
  6. Step 6: Final answer
    x = 271,082.24

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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.