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Finding the Fourth Proportional to 296,898.75, 409,746.24 and 162,788.67

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Solution

The fourth proportional to 296,898.75, 409,746.24 and 162,788.67 is: 224,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,898.75 : 409,746.24 = 162,788.67 : x
  2. Step 2: Convert to fraction form
    296,898.75/409,746.24 = 162,788.67/x
  3. Step 3: Cross multiply
    296,898.75x = 409,746.24 × 162,788.67
  4. Step 4: Simplify right side
    296,898.75x = 66,702,045,447.10
  5. Step 5: Solve for x
    x = 66,702,045,447.10/296,898.75
  6. Step 6: Final answer
    x = 224,662.60

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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.