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Finding the Fourth Proportional to 474,271.56, 711,354.94 and 119,285.72

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Solution

The fourth proportional to 474,271.56, 711,354.94 and 119,285.72 is: 178,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,271.56 : 711,354.94 = 119,285.72 : x
  2. Step 2: Convert to fraction form
    474,271.56/711,354.94 = 119,285.72/x
  3. Step 3: Cross multiply
    474,271.56x = 711,354.94 × 119,285.72
  4. Step 4: Simplify right side
    474,271.56x = 84,854,486,193.46
  5. Step 5: Solve for x
    x = 84,854,486,193.46/474,271.56
  6. Step 6: Final answer
    x = 178,915.40

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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.