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Finding the Fourth Proportional to 383,818.24, 575,378.88 and 134,364.16

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Solution

The fourth proportional to 383,818.24, 575,378.88 and 134,364.16 is: 201,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,818.24 : 575,378.88 = 134,364.16 : x
  2. Step 2: Convert to fraction form
    383,818.24/575,378.88 = 134,364.16/x
  3. Step 3: Cross multiply
    383,818.24x = 575,378.88 × 134,364.16
  4. Step 4: Simplify right side
    383,818.24x = 77,310,299,892.94
  5. Step 5: Solve for x
    x = 77,310,299,892.94/383,818.24
  6. Step 6: Final answer
    x = 201,424.25

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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.