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Finding the Fourth Proportional to 383,102.64, 528,685.11 and 213,340.14

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Solution

The fourth proportional to 383,102.64, 528,685.11 and 213,340.14 is: 294,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,102.64 : 528,685.11 = 213,340.14 : x
  2. Step 2: Convert to fraction form
    383,102.64/528,685.11 = 213,340.14/x
  3. Step 3: Cross multiply
    383,102.64x = 528,685.11 × 213,340.14
  4. Step 4: Simplify right side
    383,102.64x = 112,789,755,383.32
  5. Step 5: Solve for x
    x = 112,789,755,383.32/383,102.64
  6. Step 6: Final answer
    x = 294,411.32

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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.