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Finding the Fourth Proportional to 520,083.40, 780,125.10 and 204,435.40

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Solution

The fourth proportional to 520,083.40, 780,125.10 and 204,435.40 is: 306,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.40 : 780,125.10 = 204,435.40 : x
  2. Step 2: Convert to fraction form
    520,083.40/780,125.10 = 204,435.40/x
  3. Step 3: Cross multiply
    520,083.40x = 780,125.10 × 204,435.40
  4. Step 4: Simplify right side
    520,083.40x = 159,485,186,868.54
  5. Step 5: Solve for x
    x = 159,485,186,868.54/520,083.40
  6. Step 6: Final answer
    x = 306,653.10

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Similar ratio
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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.