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Finding the Fourth Proportional to 383,672.16, 575,674.32 and 205,971.84

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Solution

The fourth proportional to 383,672.16, 575,674.32 and 205,971.84 is: 309,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,672.16 : 575,674.32 = 205,971.84 : x
  2. Step 2: Convert to fraction form
    383,672.16/575,674.32 = 205,971.84/x
  3. Step 3: Cross multiply
    383,672.16x = 575,674.32 × 205,971.84
  4. Step 4: Simplify right side
    383,672.16x = 118,572,698,931.15
  5. Step 5: Solve for x
    x = 118,572,698,931.15/383,672.16
  6. Step 6: Final answer
    x = 309,046.92

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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.