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Finding the Fourth Proportional to 383,694, 529,535.14 and 286,729.49

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Solution

The fourth proportional to 383,694, 529,535.14 and 286,729.49 is: 395,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,694 : 529,535.14 = 286,729.49 : x
  2. Step 2: Convert to fraction form
    383,694/529,535.14 = 286,729.49/x
  3. Step 3: Cross multiply
    383,694x = 529,535.14 × 286,729.49
  4. Step 4: Simplify right side
    383,694x = 151,833,337,264.78
  5. Step 5: Solve for x
    x = 151,833,337,264.78/383,694
  6. Step 6: Final answer
    x = 395,714.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.