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Finding the Fourth Proportional to 533,775.12, 800,934.22 and 234,178

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Solution

The fourth proportional to 533,775.12, 800,934.22 and 234,178 is: 351,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,775.12 : 800,934.22 = 234,178 : x
  2. Step 2: Convert to fraction form
    533,775.12/800,934.22 = 234,178/x
  3. Step 3: Cross multiply
    533,775.12x = 800,934.22 × 234,178
  4. Step 4: Simplify right side
    533,775.12x = 187,561,173,771.16
  5. Step 5: Solve for x
    x = 187,561,173,771.16/533,775.12
  6. Step 6: Final answer
    x = 351,386.13

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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.