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Finding the Fourth Proportional to 464,852.80, 697,279.20 and 323,135.20

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Solution

The fourth proportional to 464,852.80, 697,279.20 and 323,135.20 is: 484,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,852.80 : 697,279.20 = 323,135.20 : x
  2. Step 2: Convert to fraction form
    464,852.80/697,279.20 = 323,135.20/x
  3. Step 3: Cross multiply
    464,852.80x = 697,279.20 × 323,135.20
  4. Step 4: Simplify right side
    464,852.80x = 225,315,453,747.84
  5. Step 5: Solve for x
    x = 225,315,453,747.84/464,852.80
  6. Step 6: Final answer
    x = 484,702.80

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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.