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Finding the Fourth Proportional to 822,035.10, 1,231,303.05 and 822,035.10

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Solution

The fourth proportional to 822,035.10, 1,231,303.05 and 822,035.10 is: 1,231,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,035.10 : 1,231,303.05 = 822,035.10 : x
  2. Step 2: Convert to fraction form
    822,035.10/1,231,303.05 = 822,035.10/x
  3. Step 3: Cross multiply
    822,035.10x = 1,231,303.05 × 822,035.10
  4. Step 4: Simplify right side
    822,035.10x = 1,012,174,325,837.06
  5. Step 5: Solve for x
    x = 1,012,174,325,837.06/822,035.10
  6. Step 6: Final answer
    x = 1,231,303.05

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Why These Related Problems?

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