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Finding the Fourth Proportional to 313,258.94, 432,297.76 and 170,018.98

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Solution

The fourth proportional to 313,258.94, 432,297.76 and 170,018.98 is: 234,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,258.94 : 432,297.76 = 170,018.98 : x
  2. Step 2: Convert to fraction form
    313,258.94/432,297.76 = 170,018.98/x
  3. Step 3: Cross multiply
    313,258.94x = 432,297.76 × 170,018.98
  4. Step 4: Simplify right side
    313,258.94x = 73,498,824,211.48
  5. Step 5: Solve for x
    x = 73,498,824,211.48/313,258.94
  6. Step 6: Final answer
    x = 234,626.42

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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.