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Finding the Fourth Proportional to 296,448.73, 409,099.15 and 160,482.57

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Solution

The fourth proportional to 296,448.73, 409,099.15 and 160,482.57 is: 221,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,448.73 : 409,099.15 = 160,482.57 : x
  2. Step 2: Convert to fraction form
    296,448.73/409,099.15 = 160,482.57/x
  3. Step 3: Cross multiply
    296,448.73x = 409,099.15 × 160,482.57
  4. Step 4: Simplify right side
    296,448.73x = 65,653,282,976.82
  5. Step 5: Solve for x
    x = 65,653,282,976.82/296,448.73
  6. Step 6: Final answer
    x = 221,465.90

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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.