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Finding the Fourth Proportional to 280,783.60, 420,300.60 and 202,051.60

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Solution

The fourth proportional to 280,783.60, 420,300.60 and 202,051.60 is: 302,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,783.60 : 420,300.60 = 202,051.60 : x
  2. Step 2: Convert to fraction form
    280,783.60/420,300.60 = 202,051.60/x
  3. Step 3: Cross multiply
    280,783.60x = 420,300.60 × 202,051.60
  4. Step 4: Simplify right side
    280,783.60x = 84,922,408,710.96
  5. Step 5: Solve for x
    x = 84,922,408,710.96/280,783.60
  6. Step 6: Final answer
    x = 302,447.89

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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.