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Finding the Fourth Proportional to 702,767.36, 969,819.36 and 380,477.54

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Solution

The fourth proportional to 702,767.36, 969,819.36 and 380,477.54 is: 525,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,767.36 : 969,819.36 = 380,477.54 : x
  2. Step 2: Convert to fraction form
    702,767.36/969,819.36 = 380,477.54/x
  3. Step 3: Cross multiply
    702,767.36x = 969,819.36 × 380,477.54
  4. Step 4: Simplify right side
    702,767.36x = 368,994,484,337.17
  5. Step 5: Solve for x
    x = 368,994,484,337.17/702,767.36
  6. Step 6: Final answer
    x = 525,059.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.