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Finding the Fourth Proportional to 468,364.51, 646,374.23 and 264,342.97

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Solution

The fourth proportional to 468,364.51, 646,374.23 and 264,342.97 is: 364,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,364.51 : 646,374.23 = 264,342.97 : x
  2. Step 2: Convert to fraction form
    468,364.51/646,374.23 = 264,342.97/x
  3. Step 3: Cross multiply
    468,364.51x = 646,374.23 × 264,342.97
  4. Step 4: Simplify right side
    468,364.51x = 170,864,483,689.66
  5. Step 5: Solve for x
    x = 170,864,483,689.66/468,364.51
  6. Step 6: Final answer
    x = 364,810.91

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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.