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Finding the Fourth Proportional to 511,495.12, 705,905.28 and 282,097.27

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Solution

The fourth proportional to 511,495.12, 705,905.28 and 282,097.27 is: 389,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,495.12 : 705,905.28 = 282,097.27 : x
  2. Step 2: Convert to fraction form
    511,495.12/705,905.28 = 282,097.27/x
  3. Step 3: Cross multiply
    511,495.12x = 705,905.28 × 282,097.27
  4. Step 4: Simplify right side
    511,495.12x = 199,133,952,366.59
  5. Step 5: Solve for x
    x = 199,133,952,366.59/511,495.12
  6. Step 6: Final answer
    x = 389,317.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.