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Finding the Fourth Proportional to 298,828.08, 412,384.32 and 164,692.08

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Solution

The fourth proportional to 298,828.08, 412,384.32 and 164,692.08 is: 227,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,828.08 : 412,384.32 = 164,692.08 : x
  2. Step 2: Convert to fraction form
    298,828.08/412,384.32 = 164,692.08/x
  3. Step 3: Cross multiply
    298,828.08x = 412,384.32 × 164,692.08
  4. Step 4: Simplify right side
    298,828.08x = 67,916,431,420.19
  5. Step 5: Solve for x
    x = 67,916,431,420.19/298,828.08
  6. Step 6: Final answer
    x = 227,275.94

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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.