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Finding the Fourth Proportional to 465,498.51, 642,388.37 and 264,294.51

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Solution

The fourth proportional to 465,498.51, 642,388.37 and 264,294.51 is: 364,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,498.51 : 642,388.37 = 264,294.51 : x
  2. Step 2: Convert to fraction form
    465,498.51/642,388.37 = 264,294.51/x
  3. Step 3: Cross multiply
    465,498.51x = 642,388.37 × 264,294.51
  4. Step 4: Simplify right side
    465,498.51x = 169,779,719,478.85
  5. Step 5: Solve for x
    x = 169,779,719,478.85/465,498.51
  6. Step 6: Final answer
    x = 364,726.67

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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.