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Finding the Fourth Proportional to 298,259.37, 411,591.83 and 162,296.01

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Solution

The fourth proportional to 298,259.37, 411,591.83 and 162,296.01 is: 223,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,259.37 : 411,591.83 = 162,296.01 : x
  2. Step 2: Convert to fraction form
    298,259.37/411,591.83 = 162,296.01/x
  3. Step 3: Cross multiply
    298,259.37x = 411,591.83 × 162,296.01
  4. Step 4: Simplify right side
    298,259.37x = 66,799,710,946.12
  5. Step 5: Solve for x
    x = 66,799,710,946.12/298,259.37
  6. Step 6: Final answer
    x = 223,965.17

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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.