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Finding the Fourth Proportional to 832,409.12, 1,148,729.92 and 488,174.88

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Solution

The fourth proportional to 832,409.12, 1,148,729.92 and 488,174.88 is: 673,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,409.12 : 1,148,729.92 = 488,174.88 : x
  2. Step 2: Convert to fraction form
    832,409.12/1,148,729.92 = 488,174.88/x
  3. Step 3: Cross multiply
    832,409.12x = 1,148,729.92 × 488,174.88
  4. Step 4: Simplify right side
    832,409.12x = 560,781,090,848.41
  5. Step 5: Solve for x
    x = 560,781,090,848.41/832,409.12
  6. Step 6: Final answer
    x = 673,684.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.