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Finding the Fourth Proportional to 520,022.70, 780,106.95 and 204,406.20

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Solution

The fourth proportional to 520,022.70, 780,106.95 and 204,406.20 is: 306,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,022.70 : 780,106.95 = 204,406.20 : x
  2. Step 2: Convert to fraction form
    520,022.70/780,106.95 = 204,406.20/x
  3. Step 3: Cross multiply
    520,022.70x = 780,106.95 × 204,406.20
  4. Step 4: Simplify right side
    520,022.70x = 159,458,697,243.09
  5. Step 5: Solve for x
    x = 159,458,697,243.09/520,022.70
  6. Step 6: Final answer
    x = 306,637.95

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1.5x scale

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.