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Finding the Fourth Proportional to 296,894.75, 409,740.68 and 162,784.67

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Solution

The fourth proportional to 296,894.75, 409,740.68 and 162,784.67 is: 224,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,894.75 : 409,740.68 = 162,784.67 : x
  2. Step 2: Convert to fraction form
    296,894.75/409,740.68 = 162,784.67/x
  3. Step 3: Cross multiply
    296,894.75x = 409,740.68 × 162,784.67
  4. Step 4: Simplify right side
    296,894.75x = 66,699,501,379.38
  5. Step 5: Solve for x
    x = 66,699,501,379.38/296,894.75
  6. Step 6: Final answer
    x = 224,657.06

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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.