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Finding the Fourth Proportional to 427,312.48, 589,701.55 and 233,738.37

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Solution

The fourth proportional to 427,312.48, 589,701.55 and 233,738.37 is: 322,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,312.48 : 589,701.55 = 233,738.37 : x
  2. Step 2: Convert to fraction form
    427,312.48/589,701.55 = 233,738.37/x
  3. Step 3: Cross multiply
    427,312.48x = 589,701.55 × 233,738.37
  4. Step 4: Simplify right side
    427,312.48x = 137,835,879,083.47
  5. Step 5: Solve for x
    x = 137,835,879,083.47/427,312.48
  6. Step 6: Final answer
    x = 322,564.60

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