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Finding the Fourth Proportional to 823,472.16, 1,126,014.96 and 823,472.16

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Solution

The fourth proportional to 823,472.16, 1,126,014.96 and 823,472.16 is: 1,126,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,472.16 : 1,126,014.96 = 823,472.16 : x
  2. Step 2: Convert to fraction form
    823,472.16/1,126,014.96 = 823,472.16/x
  3. Step 3: Cross multiply
    823,472.16x = 1,126,014.96 × 823,472.16
  4. Step 4: Simplify right side
    823,472.16x = 927,241,971,303.51
  5. Step 5: Solve for x
    x = 927,241,971,303.51/823,472.16
  6. Step 6: Final answer
    x = 1,126,014.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.