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Finding the Fourth Proportional to 407,733.20, 611,599.80 and 388,050.20

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Solution

The fourth proportional to 407,733.20, 611,599.80 and 388,050.20 is: 582,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,733.20 : 611,599.80 = 388,050.20 : x
  2. Step 2: Convert to fraction form
    407,733.20/611,599.80 = 388,050.20/x
  3. Step 3: Cross multiply
    407,733.20x = 611,599.80 × 388,050.20
  4. Step 4: Simplify right side
    407,733.20x = 237,331,424,709.96
  5. Step 5: Solve for x
    x = 237,331,424,709.96/407,733.20
  6. Step 6: Final answer
    x = 582,075.30

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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.