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Finding the Fourth Proportional to 383,877.40, 575,081.70 and 206,325.40

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Solution

The fourth proportional to 383,877.40, 575,081.70 and 206,325.40 is: 309,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,877.40 : 575,081.70 = 206,325.40 : x
  2. Step 2: Convert to fraction form
    383,877.40/575,081.70 = 206,325.40/x
  3. Step 3: Cross multiply
    383,877.40x = 575,081.70 × 206,325.40
  4. Step 4: Simplify right side
    383,877.40x = 118,653,961,785.18
  5. Step 5: Solve for x
    x = 118,653,961,785.18/383,877.40
  6. Step 6: Final answer
    x = 309,093.38

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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.