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Finding the Fourth Proportional to 431,166.23, 595,256.04 and 286,168.65

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Solution

The fourth proportional to 431,166.23, 595,256.04 and 286,168.65 is: 395,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,166.23 : 595,256.04 = 286,168.65 : x
  2. Step 2: Convert to fraction form
    431,166.23/595,256.04 = 286,168.65/x
  3. Step 3: Cross multiply
    431,166.23x = 595,256.04 × 286,168.65
  4. Step 4: Simplify right side
    431,166.23x = 170,343,615,940.30
  5. Step 5: Solve for x
    x = 170,343,615,940.30/431,166.23
  6. Step 6: Final answer
    x = 395,076.43

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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.