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Finding the Fourth Proportional to 702,177.70, 969,121.14 and 430,396.78

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Solution

The fourth proportional to 702,177.70, 969,121.14 and 430,396.78 is: 594,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,177.70 : 969,121.14 = 430,396.78 : x
  2. Step 2: Convert to fraction form
    702,177.70/969,121.14 = 430,396.78/x
  3. Step 3: Cross multiply
    702,177.70x = 969,121.14 × 430,396.78
  4. Step 4: Simplify right side
    702,177.70x = 417,106,618,085.93
  5. Step 5: Solve for x
    x = 417,106,618,085.93/702,177.70
  6. Step 6: Final answer
    x = 594,018.61

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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.