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Finding the Fourth Proportional to 589,157.40, 813,129.54 and 347,466.54

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Solution

The fourth proportional to 589,157.40, 813,129.54 and 347,466.54 is: 479,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,157.40 : 813,129.54 = 347,466.54 : x
  2. Step 2: Convert to fraction form
    589,157.40/813,129.54 = 347,466.54/x
  3. Step 3: Cross multiply
    589,157.40x = 813,129.54 × 347,466.54
  4. Step 4: Simplify right side
    589,157.40x = 282,535,307,835.59
  5. Step 5: Solve for x
    x = 282,535,307,835.59/589,157.40
  6. Step 6: Final answer
    x = 479,558.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.