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Finding the Fourth Proportional to 589,886.76, 814,131.32 and 360,576.28

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Solution

The fourth proportional to 589,886.76, 814,131.32 and 360,576.28 is: 497,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,886.76 : 814,131.32 = 360,576.28 : x
  2. Step 2: Convert to fraction form
    589,886.76/814,131.32 = 360,576.28/x
  3. Step 3: Cross multiply
    589,886.76x = 814,131.32 × 360,576.28
  4. Step 4: Simplify right side
    589,886.76x = 293,556,442,797.09
  5. Step 5: Solve for x
    x = 293,556,442,797.09/589,886.76
  6. Step 6: Final answer
    x = 497,648.81

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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.