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Finding the Fourth Proportional to 464,905.60, 697,012.80 and 254,780.80

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Solution

The fourth proportional to 464,905.60, 697,012.80 and 254,780.80 is: 381,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,905.60 : 697,012.80 = 254,780.80 : x
  2. Step 2: Convert to fraction form
    464,905.60/697,012.80 = 254,780.80/x
  3. Step 3: Cross multiply
    464,905.60x = 697,012.80 × 254,780.80
  4. Step 4: Simplify right side
    464,905.60x = 177,585,478,794.24
  5. Step 5: Solve for x
    x = 177,585,478,794.24/464,905.60
  6. Step 6: Final answer
    x = 381,981.80

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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.