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Finding the Fourth Proportional to 549,381.80, 824,065 and 333,292.03

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Solution

The fourth proportional to 549,381.80, 824,065 and 333,292.03 is: 499,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,381.80 : 824,065 = 333,292.03 : x
  2. Step 2: Convert to fraction form
    549,381.80/824,065 = 333,292.03/x
  3. Step 3: Cross multiply
    549,381.80x = 824,065 × 333,292.03
  4. Step 4: Simplify right side
    549,381.80x = 274,654,296,701.95
  5. Step 5: Solve for x
    x = 274,654,296,701.95/549,381.80
  6. Step 6: Final answer
    x = 499,933.37

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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.