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Finding the Fourth Proportional to 489,124.20, 733,686.30 and 400,477.80

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Solution

The fourth proportional to 489,124.20, 733,686.30 and 400,477.80 is: 600,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,124.20 : 733,686.30 = 400,477.80 : x
  2. Step 2: Convert to fraction form
    489,124.20/733,686.30 = 400,477.80/x
  3. Step 3: Cross multiply
    489,124.20x = 733,686.30 × 400,477.80
  4. Step 4: Simplify right side
    489,124.20x = 293,825,075,314.14
  5. Step 5: Solve for x
    x = 293,825,075,314.14/489,124.20
  6. Step 6: Final answer
    x = 600,716.70

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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.