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Finding the Fourth Proportional to 296,600.88, 409,307.16 and 160,631.68

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Solution

The fourth proportional to 296,600.88, 409,307.16 and 160,631.68 is: 221,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,600.88 : 409,307.16 = 160,631.68 : x
  2. Step 2: Convert to fraction form
    296,600.88/409,307.16 = 160,631.68/x
  3. Step 3: Cross multiply
    296,600.88x = 409,307.16 × 160,631.68
  4. Step 4: Simplify right side
    296,600.88x = 65,747,696,746.83
  5. Step 5: Solve for x
    x = 65,747,696,746.83/296,600.88
  6. Step 6: Final answer
    x = 221,670.61

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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.