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Finding the Fourth Proportional to 517,833.54, 776,848.32 and 202,270.50

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Solution

The fourth proportional to 517,833.54, 776,848.32 and 202,270.50 is: 303,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,833.54 : 776,848.32 = 202,270.50 : x
  2. Step 2: Convert to fraction form
    517,833.54/776,848.32 = 202,270.50/x
  3. Step 3: Cross multiply
    517,833.54x = 776,848.32 × 202,270.50
  4. Step 4: Simplify right side
    517,833.54x = 157,133,498,110.56
  5. Step 5: Solve for x
    x = 157,133,498,110.56/517,833.54
  6. Step 6: Final answer
    x = 303,444.03

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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.