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Finding the Fourth Proportional to 298,264.48, 411,468.86 and 177,336.95

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Solution

The fourth proportional to 298,264.48, 411,468.86 and 177,336.95 is: 244,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,264.48 : 411,468.86 = 177,336.95 : x
  2. Step 2: Convert to fraction form
    298,264.48/411,468.86 = 177,336.95/x
  3. Step 3: Cross multiply
    298,264.48x = 411,468.86 × 177,336.95
  4. Step 4: Simplify right side
    298,264.48x = 72,968,631,038.38
  5. Step 5: Solve for x
    x = 72,968,631,038.38/298,264.48
  6. Step 6: Final answer
    x = 244,644.05

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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.