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Finding the Fourth Proportional to 310,428.72, 428,052.60 and 209,651.76

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Solution

The fourth proportional to 310,428.72, 428,052.60 and 209,651.76 is: 289,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,428.72 : 428,052.60 = 209,651.76 : x
  2. Step 2: Convert to fraction form
    310,428.72/428,052.60 = 209,651.76/x
  3. Step 3: Cross multiply
    310,428.72x = 428,052.60 × 209,651.76
  4. Step 4: Simplify right side
    310,428.72x = 89,741,980,962.58
  5. Step 5: Solve for x
    x = 89,741,980,962.58/310,428.72
  6. Step 6: Final answer
    x = 289,090.46

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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.