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Finding the Fourth Proportional to 272,113.65, 408,225.15 and 228,045.60

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Solution

The fourth proportional to 272,113.65, 408,225.15 and 228,045.60 is: 342,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,113.65 : 408,225.15 = 228,045.60 : x
  2. Step 2: Convert to fraction form
    272,113.65/408,225.15 = 228,045.60/x
  3. Step 3: Cross multiply
    272,113.65x = 408,225.15 × 228,045.60
  4. Step 4: Simplify right side
    272,113.65x = 93,093,949,266.84
  5. Step 5: Solve for x
    x = 93,093,949,266.84/272,113.65
  6. Step 6: Final answer
    x = 342,114.22

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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.