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Finding the Fourth Proportional to 434,671.72, 652,002.30 and 119,128.36

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Solution

The fourth proportional to 434,671.72, 652,002.30 and 119,128.36 is: 178,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,671.72 : 652,002.30 = 119,128.36 : x
  2. Step 2: Convert to fraction form
    434,671.72/652,002.30 = 119,128.36/x
  3. Step 3: Cross multiply
    434,671.72x = 652,002.30 × 119,128.36
  4. Step 4: Simplify right side
    434,671.72x = 77,671,964,715.23
  5. Step 5: Solve for x
    x = 77,671,964,715.23/434,671.72
  6. Step 6: Final answer
    x = 178,691.09

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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.