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Finding the Fourth Proportional to 702,447, 1,053,633.38 and 197,043.05

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Solution

The fourth proportional to 702,447, 1,053,633.38 and 197,043.05 is: 295,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,447 : 1,053,633.38 = 197,043.05 : x
  2. Step 2: Convert to fraction form
    702,447/1,053,633.38 = 197,043.05/x
  3. Step 3: Cross multiply
    702,447x = 1,053,633.38 × 197,043.05
  4. Step 4: Simplify right side
    702,447x = 207,611,128,523.63
  5. Step 5: Solve for x
    x = 207,611,128,523.63/702,447
  6. Step 6: Final answer
    x = 295,554.15

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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.