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Finding the Fourth Proportional to 464,811.80, 697,217.70 and 405,762.80

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Solution

The fourth proportional to 464,811.80, 697,217.70 and 405,762.80 is: 608,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,811.80 : 697,217.70 = 405,762.80 : x
  2. Step 2: Convert to fraction form
    464,811.80/697,217.70 = 405,762.80/x
  3. Step 3: Cross multiply
    464,811.80x = 697,217.70 × 405,762.80
  4. Step 4: Simplify right side
    464,811.80x = 282,905,006,161.56
  5. Step 5: Solve for x
    x = 282,905,006,161.56/464,811.80
  6. Step 6: Final answer
    x = 608,644.20

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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.