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Finding the Fourth Proportional to 298,628.13, 412,106.84 and 164,492.13

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Solution

The fourth proportional to 298,628.13, 412,106.84 and 164,492.13 is: 226,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,628.13 : 412,106.84 = 164,492.13 : x
  2. Step 2: Convert to fraction form
    298,628.13/412,106.84 = 164,492.13/x
  3. Step 3: Cross multiply
    298,628.13x = 412,106.84 × 164,492.13
  4. Step 4: Simplify right side
    298,628.13x = 67,788,331,899.17
  5. Step 5: Solve for x
    x = 67,788,331,899.17/298,628.13
  6. Step 6: Final answer
    x = 226,999.15

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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.