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Finding the Fourth Proportional to 535,015.31, 802,289.66 and 202,358.03

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Solution

The fourth proportional to 535,015.31, 802,289.66 and 202,358.03 is: 303,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,015.31 : 802,289.66 = 202,358.03 : x
  2. Step 2: Convert to fraction form
    535,015.31/802,289.66 = 202,358.03/x
  3. Step 3: Cross multiply
    535,015.31x = 802,289.66 × 202,358.03
  4. Step 4: Simplify right side
    535,015.31x = 162,349,750,063.73
  5. Step 5: Solve for x
    x = 162,349,750,063.73/535,015.31
  6. Step 6: Final answer
    x = 303,448.80

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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.