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Finding the Fourth Proportional to 284,886.39, 393,099.54 and 164,004.32

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Solution

The fourth proportional to 284,886.39, 393,099.54 and 164,004.32 is: 226,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,886.39 : 393,099.54 = 164,004.32 : x
  2. Step 2: Convert to fraction form
    284,886.39/393,099.54 = 164,004.32/x
  3. Step 3: Cross multiply
    284,886.39x = 393,099.54 × 164,004.32
  4. Step 4: Simplify right side
    284,886.39x = 64,470,022,750.01
  5. Step 5: Solve for x
    x = 64,470,022,750.01/284,886.39
  6. Step 6: Final answer
    x = 226,300.82

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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.