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Finding the Fourth Proportional to 461,511.47, 692,039.16 and 141,586.79

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Solution

The fourth proportional to 461,511.47, 692,039.16 and 141,586.79 is: 212,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,511.47 : 692,039.16 = 141,586.79 : x
  2. Step 2: Convert to fraction form
    461,511.47/692,039.16 = 141,586.79/x
  3. Step 3: Cross multiply
    461,511.47x = 692,039.16 × 141,586.79
  4. Step 4: Simplify right side
    461,511.47x = 97,983,599,758.50
  5. Step 5: Solve for x
    x = 97,983,599,758.50/461,511.47
  6. Step 6: Final answer
    x = 212,310.21

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