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Finding the Fourth Proportional to 358,337.44, 537,486.72 and 109,000

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Solution

The fourth proportional to 358,337.44, 537,486.72 and 109,000 is: 163,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,337.44 : 537,486.72 = 109,000 : x
  2. Step 2: Convert to fraction form
    358,337.44/537,486.72 = 109,000/x
  3. Step 3: Cross multiply
    358,337.44x = 537,486.72 × 109,000
  4. Step 4: Simplify right side
    358,337.44x = 58,586,052,480
  5. Step 5: Solve for x
    x = 58,586,052,480/358,337.44
  6. Step 6: Final answer
    x = 163,494.09

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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.