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Finding the Fourth Proportional to 460,744.96, 635,825.28 and 259,605.76

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Solution

The fourth proportional to 460,744.96, 635,825.28 and 259,605.76 is: 358,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,744.96 : 635,825.28 = 259,605.76 : x
  2. Step 2: Convert to fraction form
    460,744.96/635,825.28 = 259,605.76/x
  3. Step 3: Cross multiply
    460,744.96x = 635,825.28 × 259,605.76
  4. Step 4: Simplify right side
    460,744.96x = 165,063,905,041.61
  5. Step 5: Solve for x
    x = 165,063,905,041.61/460,744.96
  6. Step 6: Final answer
    x = 358,254.39

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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.