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Finding the Fourth Proportional to 298,860.81, 412,428.24 and 162,894.87

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Solution

The fourth proportional to 298,860.81, 412,428.24 and 162,894.87 is: 224,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,860.81 : 412,428.24 = 162,894.87 : x
  2. Step 2: Convert to fraction form
    298,860.81/412,428.24 = 162,894.87/x
  3. Step 3: Cross multiply
    298,860.81x = 412,428.24 × 162,894.87
  4. Step 4: Simplify right side
    298,860.81x = 67,182,444,539.13
  5. Step 5: Solve for x
    x = 67,182,444,539.13/298,860.81
  6. Step 6: Final answer
    x = 224,795.10

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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.