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Finding the Fourth Proportional to 294,676.34, 442,096.07 and 117,307.89

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Solution

The fourth proportional to 294,676.34, 442,096.07 and 117,307.89 is: 175,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,676.34 : 442,096.07 = 117,307.89 : x
  2. Step 2: Convert to fraction form
    294,676.34/442,096.07 = 117,307.89/x
  3. Step 3: Cross multiply
    294,676.34x = 442,096.07 × 117,307.89
  4. Step 4: Simplify right side
    294,676.34x = 51,861,356,562.45
  5. Step 5: Solve for x
    x = 51,861,356,562.45/294,676.34
  6. Step 6: Final answer
    x = 175,994.30

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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.