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Finding the Fourth Proportional to 255,878.40, 384,163.20 and 162,566.40

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Solution

The fourth proportional to 255,878.40, 384,163.20 and 162,566.40 is: 244,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,878.40 : 384,163.20 = 162,566.40 : x
  2. Step 2: Convert to fraction form
    255,878.40/384,163.20 = 162,566.40/x
  3. Step 3: Cross multiply
    255,878.40x = 384,163.20 × 162,566.40
  4. Step 4: Simplify right side
    255,878.40x = 62,452,028,436.48
  5. Step 5: Solve for x
    x = 62,452,028,436.48/255,878.40
  6. Step 6: Final answer
    x = 244,069.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.