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Finding the Fourth Proportional to 297,522.40, 410,741.04 and 229,389.88

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Solution

The fourth proportional to 297,522.40, 410,741.04 and 229,389.88 is: 316,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,522.40 : 410,741.04 = 229,389.88 : x
  2. Step 2: Convert to fraction form
    297,522.40/410,741.04 = 229,389.88/x
  3. Step 3: Cross multiply
    297,522.40x = 410,741.04 × 229,389.88
  4. Step 4: Simplify right side
    297,522.40x = 94,219,837,876.68
  5. Step 5: Solve for x
    x = 94,219,837,876.68/297,522.40
  6. Step 6: Final answer
    x = 316,681.49

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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.