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Finding the Fourth Proportional to 464,746.92, 697,146.36 and 132,297

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Solution

The fourth proportional to 464,746.92, 697,146.36 and 132,297 is: 198,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,746.92 : 697,146.36 = 132,297 : x
  2. Step 2: Convert to fraction form
    464,746.92/697,146.36 = 132,297/x
  3. Step 3: Cross multiply
    464,746.92x = 697,146.36 × 132,297
  4. Step 4: Simplify right side
    464,746.92x = 92,230,371,988.92
  5. Step 5: Solve for x
    x = 92,230,371,988.92/464,746.92
  6. Step 6: Final answer
    x = 198,452.90

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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.