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Finding the Fourth Proportional to 560,952.54, 840,928.64 and 205,884.18

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Solution

The fourth proportional to 560,952.54, 840,928.64 and 205,884.18 is: 308,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,952.54 : 840,928.64 = 205,884.18 : x
  2. Step 2: Convert to fraction form
    560,952.54/840,928.64 = 205,884.18/x
  3. Step 3: Cross multiply
    560,952.54x = 840,928.64 × 205,884.18
  4. Step 4: Simplify right side
    560,952.54x = 173,133,902,455.49
  5. Step 5: Solve for x
    x = 173,133,902,455.49/560,952.54
  6. Step 6: Final answer
    x = 308,642.69

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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.