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Finding the Fourth Proportional to 383,714.08, 529,506 and 213,915.36

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Solution

The fourth proportional to 383,714.08, 529,506 and 213,915.36 is: 295,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,714.08 : 529,506 = 213,915.36 : x
  2. Step 2: Convert to fraction form
    383,714.08/529,506 = 213,915.36/x
  3. Step 3: Cross multiply
    383,714.08x = 529,506 × 213,915.36
  4. Step 4: Simplify right side
    383,714.08x = 113,269,466,612.16
  5. Step 5: Solve for x
    x = 113,269,466,612.16/383,714.08
  6. Step 6: Final answer
    x = 295,192.36

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1.5x scale

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.