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Finding the Fourth Proportional to 313,615.78, 432,826.88 and 186,291.88

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Solution

The fourth proportional to 313,615.78, 432,826.88 and 186,291.88 is: 257,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,615.78 : 432,826.88 = 186,291.88 : x
  2. Step 2: Convert to fraction form
    313,615.78/432,826.88 = 186,291.88/x
  3. Step 3: Cross multiply
    313,615.78x = 432,826.88 × 186,291.88
  4. Step 4: Simplify right side
    313,615.78x = 80,632,130,094.14
  5. Step 5: Solve for x
    x = 80,632,130,094.14/313,615.78
  6. Step 6: Final answer
    x = 257,104.83

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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.