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Finding the Fourth Proportional to 541,176.12, 811,524.23 and 288,409.50

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Solution

The fourth proportional to 541,176.12, 811,524.23 and 288,409.50 is: 432,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,176.12 : 811,524.23 = 288,409.50 : x
  2. Step 2: Convert to fraction form
    541,176.12/811,524.23 = 288,409.50/x
  3. Step 3: Cross multiply
    541,176.12x = 811,524.23 × 288,409.50
  4. Step 4: Simplify right side
    541,176.12x = 234,051,295,970.14
  5. Step 5: Solve for x
    x = 234,051,295,970.14/541,176.12
  6. Step 6: Final answer
    x = 432,486.37

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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.