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Finding the Fourth Proportional to 462,416.48, 693,056.64 and 262,903.76

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Solution

The fourth proportional to 462,416.48, 693,056.64 and 262,903.76 is: 394,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,416.48 : 693,056.64 = 262,903.76 : x
  2. Step 2: Convert to fraction form
    462,416.48/693,056.64 = 262,903.76/x
  3. Step 3: Cross multiply
    462,416.48x = 693,056.64 × 262,903.76
  4. Step 4: Simplify right side
    462,416.48x = 182,207,196,548.97
  5. Step 5: Solve for x
    x = 182,207,196,548.97/462,416.48
  6. Step 6: Final answer
    x = 394,032.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.