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Finding the Fourth Proportional to 280,827.60, 421,241.40 and 174,539.40

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Solution

The fourth proportional to 280,827.60, 421,241.40 and 174,539.40 is: 261,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,827.60 : 421,241.40 = 174,539.40 : x
  2. Step 2: Convert to fraction form
    280,827.60/421,241.40 = 174,539.40/x
  3. Step 3: Cross multiply
    280,827.60x = 421,241.40 × 174,539.40
  4. Step 4: Simplify right side
    280,827.60x = 73,523,221,211.16
  5. Step 5: Solve for x
    x = 73,523,221,211.16/280,827.60
  6. Step 6: Final answer
    x = 261,809.10

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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.