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Finding the Fourth Proportional to 298,378.94, 411,773.36 and 162,424.08

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Solution

The fourth proportional to 298,378.94, 411,773.36 and 162,424.08 is: 224,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,378.94 : 411,773.36 = 162,424.08 : x
  2. Step 2: Convert to fraction form
    298,378.94/411,773.36 = 162,424.08/x
  3. Step 3: Cross multiply
    298,378.94x = 411,773.36 × 162,424.08
  4. Step 4: Simplify right side
    298,378.94x = 66,881,909,166.51
  5. Step 5: Solve for x
    x = 66,881,909,166.51/298,378.94
  6. Step 6: Final answer
    x = 224,150.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.