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Finding the Fourth Proportional to 434,703.34, 652,047.22 and 178,480.27

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Solution

The fourth proportional to 434,703.34, 652,047.22 and 178,480.27 is: 267,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,703.34 : 652,047.22 = 178,480.27 : x
  2. Step 2: Convert to fraction form
    434,703.34/652,047.22 = 178,480.27/x
  3. Step 3: Cross multiply
    434,703.34x = 652,047.22 × 178,480.27
  4. Step 4: Simplify right side
    434,703.34x = 116,377,564,324.55
  5. Step 5: Solve for x
    x = 116,377,564,324.55/434,703.34
  6. Step 6: Final answer
    x = 267,717.21

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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.