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Finding the Fourth Proportional to 298,643.80, 412,098.54 and 183,904.06

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Solution

The fourth proportional to 298,643.80, 412,098.54 and 183,904.06 is: 253,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,643.80 : 412,098.54 = 183,904.06 : x
  2. Step 2: Convert to fraction form
    298,643.80/412,098.54 = 183,904.06/x
  3. Step 3: Cross multiply
    298,643.80x = 412,098.54 × 183,904.06
  4. Step 4: Simplify right side
    298,643.80x = 75,786,594,626.07
  5. Step 5: Solve for x
    x = 75,786,594,626.07/298,643.80
  6. Step 6: Final answer
    x = 253,769.19

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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.