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Finding the Fourth Proportional to 520,054.70, 780,154.95 and 204,438.20

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Solution

The fourth proportional to 520,054.70, 780,154.95 and 204,438.20 is: 306,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,054.70 : 780,154.95 = 204,438.20 : x
  2. Step 2: Convert to fraction form
    520,054.70/780,154.95 = 204,438.20/x
  3. Step 3: Cross multiply
    520,054.70x = 780,154.95 × 204,438.20
  4. Step 4: Simplify right side
    520,054.70x = 159,493,473,699.09
  5. Step 5: Solve for x
    x = 159,493,473,699.09/520,054.70
  6. Step 6: Final answer
    x = 306,685.96

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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.