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Finding the Fourth Proportional to 382,842.81, 574,280.07 and 112,970.96

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Solution

The fourth proportional to 382,842.81, 574,280.07 and 112,970.96 is: 169,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,842.81 : 574,280.07 = 112,970.96 : x
  2. Step 2: Convert to fraction form
    382,842.81/574,280.07 = 112,970.96/x
  3. Step 3: Cross multiply
    382,842.81x = 574,280.07 × 112,970.96
  4. Step 4: Simplify right side
    382,842.81x = 64,876,967,945.37
  5. Step 5: Solve for x
    x = 64,876,967,945.37/382,842.81
  6. Step 6: Final answer
    x = 169,461.11

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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.