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Finding the Fourth Proportional to 702,805.46, 969,870.24 and 380,515.50

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Solution

The fourth proportional to 702,805.46, 969,870.24 and 380,515.50 is: 525,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,805.46 : 969,870.24 = 380,515.50 : x
  2. Step 2: Convert to fraction form
    702,805.46/969,870.24 = 380,515.50/x
  3. Step 3: Cross multiply
    702,805.46x = 969,870.24 × 380,515.50
  4. Step 4: Simplify right side
    702,805.46x = 369,050,659,308.72
  5. Step 5: Solve for x
    x = 369,050,659,308.72/702,805.46
  6. Step 6: Final answer
    x = 525,110.69

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