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Finding the Fourth Proportional to 589,735.60, 883,102.57 and 389,756.32

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Solution

The fourth proportional to 589,735.60, 883,102.57 and 389,756.32 is: 583,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,735.60 : 883,102.57 = 389,756.32 : x
  2. Step 2: Convert to fraction form
    589,735.60/883,102.57 = 389,756.32/x
  3. Step 3: Cross multiply
    589,735.60x = 883,102.57 × 389,756.32
  4. Step 4: Simplify right side
    589,735.60x = 344,194,807,865.74
  5. Step 5: Solve for x
    x = 344,194,807,865.74/589,735.60
  6. Step 6: Final answer
    x = 583,642.58

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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.