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Finding the Fourth Proportional to 461,886.94, 692,849.64 and 158,489.68

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Solution

The fourth proportional to 461,886.94, 692,849.64 and 158,489.68 is: 237,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,886.94 : 692,849.64 = 158,489.68 : x
  2. Step 2: Convert to fraction form
    461,886.94/692,849.64 = 158,489.68/x
  3. Step 3: Cross multiply
    461,886.94x = 692,849.64 × 158,489.68
  4. Step 4: Simplify right side
    461,886.94x = 109,809,517,731.72
  5. Step 5: Solve for x
    x = 109,809,517,731.72/461,886.94
  6. Step 6: Final answer
    x = 237,741.12

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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.