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Finding the Fourth Proportional to 298,222.72, 411,547.20 and 164,085.76

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Solution

The fourth proportional to 298,222.72, 411,547.20 and 164,085.76 is: 226,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,222.72 : 411,547.20 = 164,085.76 : x
  2. Step 2: Convert to fraction form
    298,222.72/411,547.20 = 164,085.76/x
  3. Step 3: Cross multiply
    298,222.72x = 411,547.20 × 164,085.76
  4. Step 4: Simplify right side
    298,222.72x = 67,529,035,087.87
  5. Step 5: Solve for x
    x = 67,529,035,087.87/298,222.72
  6. Step 6: Final answer
    x = 226,438.26

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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.