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Finding the Fourth Proportional to 298,237.61, 411,434.15 and 201,410.01

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Solution

The fourth proportional to 298,237.61, 411,434.15 and 201,410.01 is: 277,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,237.61 : 411,434.15 = 201,410.01 : x
  2. Step 2: Convert to fraction form
    298,237.61/411,434.15 = 201,410.01/x
  3. Step 3: Cross multiply
    298,237.61x = 411,434.15 × 201,410.01
  4. Step 4: Simplify right side
    298,237.61x = 82,866,955,258.79
  5. Step 5: Solve for x
    x = 82,866,955,258.79/298,237.61
  6. Step 6: Final answer
    x = 277,855.48

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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.