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Finding the Fourth Proportional to 256,823.40, 385,235.10 and 172,842.60

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Solution

The fourth proportional to 256,823.40, 385,235.10 and 172,842.60 is: 259,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,823.40 : 385,235.10 = 172,842.60 : x
  2. Step 2: Convert to fraction form
    256,823.40/385,235.10 = 172,842.60/x
  3. Step 3: Cross multiply
    256,823.40x = 385,235.10 × 172,842.60
  4. Step 4: Simplify right side
    256,823.40x = 66,585,036,295.26
  5. Step 5: Solve for x
    x = 66,585,036,295.26/256,823.40
  6. Step 6: Final answer
    x = 259,263.90

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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.