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Finding the Fourth Proportional to 458,943.95, 688,148.62 and 178,133.15

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Solution

The fourth proportional to 458,943.95, 688,148.62 and 178,133.15 is: 267,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,943.95 : 688,148.62 = 178,133.15 : x
  2. Step 2: Convert to fraction form
    458,943.95/688,148.62 = 178,133.15/x
  3. Step 3: Cross multiply
    458,943.95x = 688,148.62 × 178,133.15
  4. Step 4: Simplify right side
    458,943.95x = 122,582,081,348.75
  5. Step 5: Solve for x
    x = 122,582,081,348.75/458,943.95
  6. Step 6: Final answer
    x = 267,095.97

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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.