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Finding the Fourth Proportional to 298,888.13, 412,462.94 and 162,922.07

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Solution

The fourth proportional to 298,888.13, 412,462.94 and 162,922.07 is: 224,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,888.13 : 412,462.94 = 162,922.07 : x
  2. Step 2: Convert to fraction form
    298,888.13/412,462.94 = 162,922.07/x
  3. Step 3: Cross multiply
    298,888.13x = 412,462.94 × 162,922.07
  4. Step 4: Simplify right side
    298,888.13x = 67,199,316,199.63
  5. Step 5: Solve for x
    x = 67,199,316,199.63/298,888.13
  6. Step 6: Final answer
    x = 224,830.99

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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.