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Finding the Fourth Proportional to 289,763.40, 434,645.10 and 219,779.40

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Solution

The fourth proportional to 289,763.40, 434,645.10 and 219,779.40 is: 329,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,763.40 : 434,645.10 = 219,779.40 : x
  2. Step 2: Convert to fraction form
    289,763.40/434,645.10 = 219,779.40/x
  3. Step 3: Cross multiply
    289,763.40x = 434,645.10 × 219,779.40
  4. Step 4: Simplify right side
    289,763.40x = 95,526,039,290.94
  5. Step 5: Solve for x
    x = 95,526,039,290.94/289,763.40
  6. Step 6: Final answer
    x = 329,669.10

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Similar ratio
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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.