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Finding the Fourth Proportional to 298,405.06, 411,806.64 and 183,641.02

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Solution

The fourth proportional to 298,405.06, 411,806.64 and 183,641.02 is: 253,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,405.06 : 411,806.64 = 183,641.02 : x
  2. Step 2: Convert to fraction form
    298,405.06/411,806.64 = 183,641.02/x
  3. Step 3: Cross multiply
    298,405.06x = 411,806.64 × 183,641.02
  4. Step 4: Simplify right side
    298,405.06x = 75,624,591,412.37
  5. Step 5: Solve for x
    x = 75,624,591,412.37/298,405.06
  6. Step 6: Final answer
    x = 253,429.32

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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.