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Finding the Fourth Proportional to 306,622.82, 460,010.78 and 106,946.07

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Solution

The fourth proportional to 306,622.82, 460,010.78 and 106,946.07 is: 160,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,622.82 : 460,010.78 = 106,946.07 : x
  2. Step 2: Convert to fraction form
    306,622.82/460,010.78 = 106,946.07/x
  3. Step 3: Cross multiply
    306,622.82x = 460,010.78 × 106,946.07
  4. Step 4: Simplify right side
    306,622.82x = 49,196,344,543.90
  5. Step 5: Solve for x
    x = 49,196,344,543.90/306,622.82
  6. Step 6: Final answer
    x = 160,445.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.