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Finding the Fourth Proportional to 298,897.18, 412,471.50 and 162,925.96

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Solution

The fourth proportional to 298,897.18, 412,471.50 and 162,925.96 is: 224,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,897.18 : 412,471.50 = 162,925.96 : x
  2. Step 2: Convert to fraction form
    298,897.18/412,471.50 = 162,925.96/x
  3. Step 3: Cross multiply
    298,897.18x = 412,471.50 × 162,925.96
  4. Step 4: Simplify right side
    298,897.18x = 67,202,315,110.14
  5. Step 5: Solve for x
    x = 67,202,315,110.14/298,897.18
  6. Step 6: Final answer
    x = 224,834.22

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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.