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Finding the Fourth Proportional to 533,054.10, 799,042.28 and 229,646.12

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Solution

The fourth proportional to 533,054.10, 799,042.28 and 229,646.12 is: 344,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,054.10 : 799,042.28 = 229,646.12 : x
  2. Step 2: Convert to fraction form
    533,054.10/799,042.28 = 229,646.12/x
  3. Step 3: Cross multiply
    533,054.10x = 799,042.28 × 229,646.12
  4. Step 4: Simplify right side
    533,054.10x = 183,496,959,317.95
  5. Step 5: Solve for x
    x = 183,496,959,317.95/533,054.10
  6. Step 6: Final answer
    x = 344,237.03

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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.