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Finding the Fourth Proportional to 234,594.16, 323,926.29 and 216,682.63

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Solution

The fourth proportional to 234,594.16, 323,926.29 and 216,682.63 is: 299,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,594.16 : 323,926.29 = 216,682.63 : x
  2. Step 2: Convert to fraction form
    234,594.16/323,926.29 = 216,682.63/x
  3. Step 3: Cross multiply
    234,594.16x = 323,926.29 × 216,682.63
  4. Step 4: Simplify right side
    234,594.16x = 70,189,200,443.34
  5. Step 5: Solve for x
    x = 70,189,200,443.34/234,594.16
  6. Step 6: Final answer
    x = 299,194.15

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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.