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Finding the Fourth Proportional to 382,040.52, 573,080.40 and 97,733.54

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Solution

The fourth proportional to 382,040.52, 573,080.40 and 97,733.54 is: 146,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,040.52 : 573,080.40 = 97,733.54 : x
  2. Step 2: Convert to fraction form
    382,040.52/573,080.40 = 97,733.54/x
  3. Step 3: Cross multiply
    382,040.52x = 573,080.40 × 97,733.54
  4. Step 4: Simplify right side
    382,040.52x = 56,009,173,331.21
  5. Step 5: Solve for x
    x = 56,009,173,331.21/382,040.52
  6. Step 6: Final answer
    x = 146,605.32

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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.