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Finding the Fourth Proportional to 793,476, 1,190,220.48 and 294,840

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Solution

The fourth proportional to 793,476, 1,190,220.48 and 294,840 is: 442,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,476 : 1,190,220.48 = 294,840 : x
  2. Step 2: Convert to fraction form
    793,476/1,190,220.48 = 294,840/x
  3. Step 3: Cross multiply
    793,476x = 1,190,220.48 × 294,840
  4. Step 4: Simplify right side
    793,476x = 350,924,606,323.20
  5. Step 5: Solve for x
    x = 350,924,606,323.20/793,476
  6. Step 6: Final answer
    x = 442,262.41

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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.