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Finding the Fourth Proportional to 563,635.76, 845,207.88 and 213,182

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Solution

The fourth proportional to 563,635.76, 845,207.88 and 213,182 is: 319,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,635.76 : 845,207.88 = 213,182 : x
  2. Step 2: Convert to fraction form
    563,635.76/845,207.88 = 213,182/x
  3. Step 3: Cross multiply
    563,635.76x = 845,207.88 × 213,182
  4. Step 4: Simplify right side
    563,635.76x = 180,183,106,274.16
  5. Step 5: Solve for x
    x = 180,183,106,274.16/563,635.76
  6. Step 6: Final answer
    x = 319,680.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.