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Finding the Fourth Proportional to 314,722.90, 472,131.27 and 112,303.24

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Solution

The fourth proportional to 314,722.90, 472,131.27 and 112,303.24 is: 168,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,722.90 : 472,131.27 = 112,303.24 : x
  2. Step 2: Convert to fraction form
    314,722.90/472,131.27 = 112,303.24/x
  3. Step 3: Cross multiply
    314,722.90x = 472,131.27 × 112,303.24
  4. Step 4: Simplify right side
    314,722.90x = 53,021,871,326.31
  5. Step 5: Solve for x
    x = 53,021,871,326.31/314,722.90
  6. Step 6: Final answer
    x = 168,471.60

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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.