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Finding the Fourth Proportional to 371,796.22, 513,080.13 and 202,030.30

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Solution

The fourth proportional to 371,796.22, 513,080.13 and 202,030.30 is: 278,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,796.22 : 513,080.13 = 202,030.30 : x
  2. Step 2: Convert to fraction form
    371,796.22/513,080.13 = 202,030.30/x
  3. Step 3: Cross multiply
    371,796.22x = 513,080.13 × 202,030.30
  4. Step 4: Simplify right side
    371,796.22x = 103,657,732,587.94
  5. Step 5: Solve for x
    x = 103,657,732,587.94/371,796.22
  6. Step 6: Final answer
    x = 278,802.55

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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.