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Finding the Fourth Proportional to 520,325.40, 780,322 and 165,256.36

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Solution

The fourth proportional to 520,325.40, 780,322 and 165,256.36 is: 247,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,325.40 : 780,322 = 165,256.36 : x
  2. Step 2: Convert to fraction form
    520,325.40/780,322 = 165,256.36/x
  3. Step 3: Cross multiply
    520,325.40x = 780,322 × 165,256.36
  4. Step 4: Simplify right side
    520,325.40x = 128,953,173,347.92
  5. Step 5: Solve for x
    x = 128,953,173,347.92/520,325.40
  6. Step 6: Final answer
    x = 247,831.79

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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.