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Finding the Fourth Proportional to 520,100.30, 780,150.45 and 402,002.30

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Solution

The fourth proportional to 520,100.30, 780,150.45 and 402,002.30 is: 603,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,100.30 : 780,150.45 = 402,002.30 : x
  2. Step 2: Convert to fraction form
    520,100.30/780,150.45 = 402,002.30/x
  3. Step 3: Cross multiply
    520,100.30x = 780,150.45 × 402,002.30
  4. Step 4: Simplify right side
    520,100.30x = 313,622,275,246.04
  5. Step 5: Solve for x
    x = 313,622,275,246.04/520,100.30
  6. Step 6: Final answer
    x = 603,003.45

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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.