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Finding the Fourth Proportional to 288,041.37, 397,386.23 and 180,424.05

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Solution

The fourth proportional to 288,041.37, 397,386.23 and 180,424.05 is: 248,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,041.37 : 397,386.23 = 180,424.05 : x
  2. Step 2: Convert to fraction form
    288,041.37/397,386.23 = 180,424.05/x
  3. Step 3: Cross multiply
    288,041.37x = 397,386.23 × 180,424.05
  4. Step 4: Simplify right side
    288,041.37x = 71,698,032,128.71
  5. Step 5: Solve for x
    x = 71,698,032,128.71/288,041.37
  6. Step 6: Final answer
    x = 248,915.74

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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.