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Finding the Fourth Proportional to 294,261.51, 441,389.94 and 194,866.48

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Solution

The fourth proportional to 294,261.51, 441,389.94 and 194,866.48 is: 292,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,261.51 : 441,389.94 = 194,866.48 : x
  2. Step 2: Convert to fraction form
    294,261.51/441,389.94 = 194,866.48/x
  3. Step 3: Cross multiply
    294,261.51x = 441,389.94 × 194,866.48
  4. Step 4: Simplify right side
    294,261.51x = 86,012,103,915.21
  5. Step 5: Solve for x
    x = 86,012,103,915.21/294,261.51
  6. Step 6: Final answer
    x = 292,298.18

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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.