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Finding the Fourth Proportional to 519,457.62, 778,595.85 and 219,751.14

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Solution

The fourth proportional to 519,457.62, 778,595.85 and 219,751.14 is: 329,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,457.62 : 778,595.85 = 219,751.14 : x
  2. Step 2: Convert to fraction form
    519,457.62/778,595.85 = 219,751.14/x
  3. Step 3: Cross multiply
    519,457.62x = 778,595.85 × 219,751.14
  4. Step 4: Simplify right side
    519,457.62x = 171,097,325,636.77
  5. Step 5: Solve for x
    x = 171,097,325,636.77/519,457.62
  6. Step 6: Final answer
    x = 329,376.87

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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.