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Finding the Fourth Proportional to 289,442.56, 399,225.48 and 180,601.72

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Solution

The fourth proportional to 289,442.56, 399,225.48 and 180,601.72 is: 249,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,442.56 : 399,225.48 = 180,601.72 : x
  2. Step 2: Convert to fraction form
    289,442.56/399,225.48 = 180,601.72/x
  3. Step 3: Cross multiply
    289,442.56x = 399,225.48 × 180,601.72
  4. Step 4: Simplify right side
    289,442.56x = 72,100,808,355.83
  5. Step 5: Solve for x
    x = 72,100,808,355.83/289,442.56
  6. Step 6: Final answer
    x = 249,102.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.