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Finding the Fourth Proportional to 497,054.51, 685,954.64 and 282,214.56

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Solution

The fourth proportional to 497,054.51, 685,954.64 and 282,214.56 is: 389,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,054.51 : 685,954.64 = 282,214.56 : x
  2. Step 2: Convert to fraction form
    497,054.51/685,954.64 = 282,214.56/x
  3. Step 3: Cross multiply
    497,054.51x = 685,954.64 × 282,214.56
  4. Step 4: Simplify right side
    497,054.51x = 193,586,386,907.56
  5. Step 5: Solve for x
    x = 193,586,386,907.56/497,054.51
  6. Step 6: Final answer
    x = 389,467.12

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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.