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Finding the Fourth Proportional to 313,282.17, 432,317.81 and 170,039.16

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Solution

The fourth proportional to 313,282.17, 432,317.81 and 170,039.16 is: 234,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,282.17 : 432,317.81 = 170,039.16 : x
  2. Step 2: Convert to fraction form
    313,282.17/432,317.81 = 170,039.16/x
  3. Step 3: Cross multiply
    313,282.17x = 432,317.81 × 170,039.16
  4. Step 4: Simplify right side
    313,282.17x = 73,510,957,690.54
  5. Step 5: Solve for x
    x = 73,510,957,690.54/313,282.17
  6. Step 6: Final answer
    x = 234,647.75

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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.