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Finding the Fourth Proportional to 589,038.54, 883,051.80 and 204,737.46

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Solution

The fourth proportional to 589,038.54, 883,051.80 and 204,737.46 is: 306,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,038.54 : 883,051.80 = 204,737.46 : x
  2. Step 2: Convert to fraction form
    589,038.54/883,051.80 = 204,737.46/x
  3. Step 3: Cross multiply
    589,038.54x = 883,051.80 × 204,737.46
  4. Step 4: Simplify right side
    589,038.54x = 180,793,782,580.43
  5. Step 5: Solve for x
    x = 180,793,782,580.43/589,038.54
  6. Step 6: Final answer
    x = 306,930.31

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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.