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Finding the Fourth Proportional to 465,495.51, 642,384.23 and 264,291.51

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Solution

The fourth proportional to 465,495.51, 642,384.23 and 264,291.51 is: 364,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,495.51 : 642,384.23 = 264,291.51 : x
  2. Step 2: Convert to fraction form
    465,495.51/642,384.23 = 264,291.51/x
  3. Step 3: Cross multiply
    465,495.51x = 642,384.23 × 264,291.51
  4. Step 4: Simplify right side
    465,495.51x = 169,776,696,825.43
  5. Step 5: Solve for x
    x = 169,776,696,825.43/465,495.51
  6. Step 6: Final answer
    x = 364,722.52

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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.