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Finding the Fourth Proportional to 358,257.76, 537,266.16 and 180,651.36

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Solution

The fourth proportional to 358,257.76, 537,266.16 and 180,651.36 is: 270,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,257.76 : 537,266.16 = 180,651.36 : x
  2. Step 2: Convert to fraction form
    358,257.76/537,266.16 = 180,651.36/x
  3. Step 3: Cross multiply
    358,257.76x = 537,266.16 × 180,651.36
  4. Step 4: Simplify right side
    358,257.76x = 97,057,862,485.98
  5. Step 5: Solve for x
    x = 97,057,862,485.98/358,257.76
  6. Step 6: Final answer
    x = 270,916.29

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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.