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Finding the Fourth Proportional to 289,640.40, 434,460.60 and 219,656.40

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Solution

The fourth proportional to 289,640.40, 434,460.60 and 219,656.40 is: 329,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,640.40 : 434,460.60 = 219,656.40 : x
  2. Step 2: Convert to fraction form
    289,640.40/434,460.60 = 219,656.40/x
  3. Step 3: Cross multiply
    289,640.40x = 434,460.60 × 219,656.40
  4. Step 4: Simplify right side
    289,640.40x = 95,432,051,337.84
  5. Step 5: Solve for x
    x = 95,432,051,337.84/289,640.40
  6. Step 6: Final answer
    x = 329,484.60

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1.5x scale

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.