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Finding the Fourth Proportional to 297,872.74, 410,784.21 and 229,782.02

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Solution

The fourth proportional to 297,872.74, 410,784.21 and 229,782.02 is: 316,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,872.74 : 410,784.21 = 229,782.02 : x
  2. Step 2: Convert to fraction form
    297,872.74/410,784.21 = 229,782.02/x
  3. Step 3: Cross multiply
    297,872.74x = 410,784.21 × 229,782.02
  4. Step 4: Simplify right side
    297,872.74x = 94,390,823,503.98
  5. Step 5: Solve for x
    x = 94,390,823,503.98/297,872.74
  6. Step 6: Final answer
    x = 316,883.05

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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.