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Finding the Fourth Proportional to 458,884.92, 688,324.62 and 178,402.16

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Solution

The fourth proportional to 458,884.92, 688,324.62 and 178,402.16 is: 267,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,884.92 : 688,324.62 = 178,402.16 : x
  2. Step 2: Convert to fraction form
    458,884.92/688,324.62 = 178,402.16/x
  3. Step 3: Cross multiply
    458,884.92x = 688,324.62 × 178,402.16
  4. Step 4: Simplify right side
    458,884.92x = 122,798,598,989.18
  5. Step 5: Solve for x
    x = 122,798,598,989.18/458,884.92
  6. Step 6: Final answer
    x = 267,602.17

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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.