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Finding the Fourth Proportional to 969,705.60, 1,453,882.14 and 429,668.16

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Solution

The fourth proportional to 969,705.60, 1,453,882.14 and 429,668.16 is: 644,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,705.60 : 1,453,882.14 = 429,668.16 : x
  2. Step 2: Convert to fraction form
    969,705.60/1,453,882.14 = 429,668.16/x
  3. Step 3: Cross multiply
    969,705.60x = 1,453,882.14 × 429,668.16
  4. Step 4: Simplify right side
    969,705.60x = 624,686,863,950.66
  5. Step 5: Solve for x
    x = 624,686,863,950.66/969,705.60
  6. Step 6: Final answer
    x = 644,202.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.