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Finding the Fourth Proportional to 517,703.69, 776,608.54 and 198,124.36

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Solution

The fourth proportional to 517,703.69, 776,608.54 and 198,124.36 is: 297,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,703.69 : 776,608.54 = 198,124.36 : x
  2. Step 2: Convert to fraction form
    517,703.69/776,608.54 = 198,124.36/x
  3. Step 3: Cross multiply
    517,703.69x = 776,608.54 × 198,124.36
  4. Step 4: Simplify right side
    517,703.69x = 153,865,069,958.03
  5. Step 5: Solve for x
    x = 153,865,069,958.03/517,703.69
  6. Step 6: Final answer
    x = 297,206.82

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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.