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Finding the Fourth Proportional to 523,618.20, 785,816.10 and 208,301.40

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Solution

The fourth proportional to 523,618.20, 785,816.10 and 208,301.40 is: 312,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,618.20 : 785,816.10 = 208,301.40 : x
  2. Step 2: Convert to fraction form
    523,618.20/785,816.10 = 208,301.40/x
  3. Step 3: Cross multiply
    523,618.20x = 785,816.10 × 208,301.40
  4. Step 4: Simplify right side
    523,618.20x = 163,686,593,772.54
  5. Step 5: Solve for x
    x = 163,686,593,772.54/523,618.20
  6. Step 6: Final answer
    x = 312,606.77

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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.