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Finding the Fourth Proportional to 587,475.20, 881,212.80 and 510,492.80

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Solution

The fourth proportional to 587,475.20, 881,212.80 and 510,492.80 is: 765,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,475.20 : 881,212.80 = 510,492.80 : x
  2. Step 2: Convert to fraction form
    587,475.20/881,212.80 = 510,492.80/x
  3. Step 3: Cross multiply
    587,475.20x = 881,212.80 × 510,492.80
  4. Step 4: Simplify right side
    587,475.20x = 449,852,789,667.84
  5. Step 5: Solve for x
    x = 449,852,789,667.84/587,475.20
  6. Step 6: Final answer
    x = 765,739.20

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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.