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Finding the Fourth Proportional to 371,794.50, 513,075.38 and 202,028.58

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Solution

The fourth proportional to 371,794.50, 513,075.38 and 202,028.58 is: 278,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,794.50 : 513,075.38 = 202,028.58 : x
  2. Step 2: Convert to fraction form
    371,794.50/513,075.38 = 202,028.58/x
  3. Step 3: Cross multiply
    371,794.50x = 513,075.38 × 202,028.58
  4. Step 4: Simplify right side
    371,794.50x = 103,655,889,444.22
  5. Step 5: Solve for x
    x = 103,655,889,444.22/371,794.50
  6. Step 6: Final answer
    x = 278,798.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.