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Finding the Fourth Proportional to 255,570.80, 383,430.24 and 105,783.44

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Solution

The fourth proportional to 255,570.80, 383,430.24 and 105,783.44 is: 158,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,570.80 : 383,430.24 = 105,783.44 : x
  2. Step 2: Convert to fraction form
    255,570.80/383,430.24 = 105,783.44/x
  3. Step 3: Cross multiply
    255,570.80x = 383,430.24 × 105,783.44
  4. Step 4: Simplify right side
    255,570.80x = 40,560,569,787.23
  5. Step 5: Solve for x
    x = 40,560,569,787.23/255,570.80
  6. Step 6: Final answer
    x = 158,705.81

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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.