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Finding the Fourth Proportional to 296,399.54, 409,031.38 and 162,263.54

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Solution

The fourth proportional to 296,399.54, 409,031.38 and 162,263.54 is: 223,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,399.54 : 409,031.38 = 162,263.54 : x
  2. Step 2: Convert to fraction form
    296,399.54/409,031.38 = 162,263.54/x
  3. Step 3: Cross multiply
    296,399.54x = 409,031.38 × 162,263.54
  4. Step 4: Simplify right side
    296,399.54x = 66,370,879,689.89
  5. Step 5: Solve for x
    x = 66,370,879,689.89/296,399.54
  6. Step 6: Final answer
    x = 223,923.69

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1.5x scale

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.