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Finding the Fourth Proportional to 458,677.68, 632,996.21 and 254,729.50

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Solution

The fourth proportional to 458,677.68, 632,996.21 and 254,729.50 is: 351,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,677.68 : 632,996.21 = 254,729.50 : x
  2. Step 2: Convert to fraction form
    458,677.68/632,996.21 = 254,729.50/x
  3. Step 3: Cross multiply
    458,677.68x = 632,996.21 × 254,729.50
  4. Step 4: Simplify right side
    458,677.68x = 161,242,808,239.19
  5. Step 5: Solve for x
    x = 161,242,808,239.19/458,677.68
  6. Step 6: Final answer
    x = 351,538.38

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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.