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Finding the Fourth Proportional to 465,392.66, 642,241.51 and 264,188.66

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Solution

The fourth proportional to 465,392.66, 642,241.51 and 264,188.66 is: 364,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,392.66 : 642,241.51 = 264,188.66 : x
  2. Step 2: Convert to fraction form
    465,392.66/642,241.51 = 264,188.66/x
  3. Step 3: Cross multiply
    465,392.66x = 642,241.51 × 264,188.66
  4. Step 4: Simplify right side
    465,392.66x = 169,672,920,051.60
  5. Step 5: Solve for x
    x = 169,672,920,051.60/465,392.66
  6. Step 6: Final answer
    x = 364,580.14

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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.