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Finding the Fourth Proportional to 464,907.60, 697,015.80 and 254,782.80

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Solution

The fourth proportional to 464,907.60, 697,015.80 and 254,782.80 is: 381,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,907.60 : 697,015.80 = 254,782.80 : x
  2. Step 2: Convert to fraction form
    464,907.60/697,015.80 = 254,782.80/x
  3. Step 3: Cross multiply
    464,907.60x = 697,015.80 × 254,782.80
  4. Step 4: Simplify right side
    464,907.60x = 177,587,637,168.24
  5. Step 5: Solve for x
    x = 177,587,637,168.24/464,907.60
  6. Step 6: Final answer
    x = 381,984.80

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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.