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Finding the Fourth Proportional to 871,128, 1,306,741.21 and 310,162.50

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Solution

The fourth proportional to 871,128, 1,306,741.21 and 310,162.50 is: 465,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,128 : 1,306,741.21 = 310,162.50 : x
  2. Step 2: Convert to fraction form
    871,128/1,306,741.21 = 310,162.50/x
  3. Step 3: Cross multiply
    871,128x = 1,306,741.21 × 310,162.50
  4. Step 4: Simplify right side
    871,128x = 405,302,119,771.22
  5. Step 5: Solve for x
    x = 405,302,119,771.22/871,128
  6. Step 6: Final answer
    x = 465,261.27

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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.