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Finding the Fourth Proportional to 276,055.89, 413,916.63 and 180,064.83

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Solution

The fourth proportional to 276,055.89, 413,916.63 and 180,064.83 is: 269,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,055.89 : 413,916.63 = 180,064.83 : x
  2. Step 2: Convert to fraction form
    276,055.89/413,916.63 = 180,064.83/x
  3. Step 3: Cross multiply
    276,055.89x = 413,916.63 × 180,064.83
  4. Step 4: Simplify right side
    276,055.89x = 74,531,827,615.12
  5. Step 5: Solve for x
    x = 74,531,827,615.12/276,055.89
  6. Step 6: Final answer
    x = 269,988.18

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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.