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Finding the Fourth Proportional to 296,485.08, 409,146.38 and 160,515.42

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Solution

The fourth proportional to 296,485.08, 409,146.38 and 160,515.42 is: 221,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,485.08 : 409,146.38 = 160,515.42 : x
  2. Step 2: Convert to fraction form
    296,485.08/409,146.38 = 160,515.42/x
  3. Step 3: Cross multiply
    296,485.08x = 409,146.38 × 160,515.42
  4. Step 4: Simplify right side
    296,485.08x = 65,674,303,027.18
  5. Step 5: Solve for x
    x = 65,674,303,027.18/296,485.08
  6. Step 6: Final answer
    x = 221,509.64

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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.