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Finding the Fourth Proportional to 1,297,803.40, 1,946,705.10 and 766,362.40

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Solution

The fourth proportional to 1,297,803.40, 1,946,705.10 and 766,362.40 is: 1,149,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,803.40 : 1,946,705.10 = 766,362.40 : x
  2. Step 2: Convert to fraction form
    1,297,803.40/1,946,705.10 = 766,362.40/x
  3. Step 3: Cross multiply
    1,297,803.40x = 1,946,705.10 × 766,362.40
  4. Step 4: Simplify right side
    1,297,803.40x = 1,491,881,592,528.24
  5. Step 5: Solve for x
    x = 1,491,881,592,528.24/1,297,803.40
  6. Step 6: Final answer
    x = 1,149,543.60

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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.