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Finding the Fourth Proportional to 1,008,357.10, 1,412,749.70 and 1,008,357.10

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Solution

The fourth proportional to 1,008,357.10, 1,412,749.70 and 1,008,357.10 is: 1,412,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,357.10 : 1,412,749.70 = 1,008,357.10 : x
  2. Step 2: Convert to fraction form
    1,008,357.10/1,412,749.70 = 1,008,357.10/x
  3. Step 3: Cross multiply
    1,008,357.10x = 1,412,749.70 × 1,008,357.10
  4. Step 4: Simplify right side
    1,008,357.10x = 1,424,556,190,517.87
  5. Step 5: Solve for x
    x = 1,424,556,190,517.87/1,008,357.10
  6. Step 6: Final answer
    x = 1,412,749.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.