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Finding the Fourth Proportional to 465,502.51, 642,393.89 and 264,298.51

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Solution

The fourth proportional to 465,502.51, 642,393.89 and 264,298.51 is: 364,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,502.51 : 642,393.89 = 264,298.51 : x
  2. Step 2: Convert to fraction form
    465,502.51/642,393.89 = 264,298.51/x
  3. Step 3: Cross multiply
    465,502.51x = 642,393.89 × 264,298.51
  4. Step 4: Simplify right side
    465,502.51x = 169,783,747,960.10
  5. Step 5: Solve for x
    x = 169,783,747,960.10/465,502.51
  6. Step 6: Final answer
    x = 364,732.19

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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.