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Finding the Fourth Proportional to 314,323.56, 433,775.87 and 193,534.51

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Solution

The fourth proportional to 314,323.56, 433,775.87 and 193,534.51 is: 267,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,323.56 : 433,775.87 = 193,534.51 : x
  2. Step 2: Convert to fraction form
    314,323.56/433,775.87 = 193,534.51/x
  3. Step 3: Cross multiply
    314,323.56x = 433,775.87 × 193,534.51
  4. Step 4: Simplify right side
    314,323.56x = 83,950,600,450.27
  5. Step 5: Solve for x
    x = 83,950,600,450.27/314,323.56
  6. Step 6: Final answer
    x = 267,083.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.