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Finding the Fourth Proportional to 520,100.40, 780,409.80 and 295,633.20

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Solution

The fourth proportional to 520,100.40, 780,409.80 and 295,633.20 is: 443,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,100.40 : 780,409.80 = 295,633.20 : x
  2. Step 2: Convert to fraction form
    520,100.40/780,409.80 = 295,633.20/x
  3. Step 3: Cross multiply
    520,100.40x = 780,409.80 × 295,633.20
  4. Step 4: Simplify right side
    520,100.40x = 230,715,046,485.36
  5. Step 5: Solve for x
    x = 230,715,046,485.36/520,100.40
  6. Step 6: Final answer
    x = 443,597.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.