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Finding the Fourth Proportional to 296,608.37, 409,317.53 and 160,639.22

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Solution

The fourth proportional to 296,608.37, 409,317.53 and 160,639.22 is: 221,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,608.37 : 409,317.53 = 160,639.22 : x
  2. Step 2: Convert to fraction form
    296,608.37/409,317.53 = 160,639.22/x
  3. Step 3: Cross multiply
    296,608.37x = 409,317.53 × 160,639.22
  4. Step 4: Simplify right side
    296,608.37x = 65,752,448,971.62
  5. Step 5: Solve for x
    x = 65,752,448,971.62/296,608.37
  6. Step 6: Final answer
    x = 221,681.03

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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.