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Finding the Fourth Proportional to 388,193.48, 582,283.72 and 174,842.72

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Solution

The fourth proportional to 388,193.48, 582,283.72 and 174,842.72 is: 262,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,193.48 : 582,283.72 = 174,842.72 : x
  2. Step 2: Convert to fraction form
    388,193.48/582,283.72 = 174,842.72/x
  3. Step 3: Cross multiply
    388,193.48x = 582,283.72 × 174,842.72
  4. Step 4: Simplify right side
    388,193.48x = 101,808,069,416.52
  5. Step 5: Solve for x
    x = 101,808,069,416.52/388,193.48
  6. Step 6: Final answer
    x = 262,261.15

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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.