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Finding the Fourth Proportional to 461,674.40, 692,511.60 and 382,877.60

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Solution

The fourth proportional to 461,674.40, 692,511.60 and 382,877.60 is: 574,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,674.40 : 692,511.60 = 382,877.60 : x
  2. Step 2: Convert to fraction form
    461,674.40/692,511.60 = 382,877.60/x
  3. Step 3: Cross multiply
    461,674.40x = 692,511.60 × 382,877.60
  4. Step 4: Simplify right side
    461,674.40x = 265,147,179,380.16
  5. Step 5: Solve for x
    x = 265,147,179,380.16/461,674.40
  6. Step 6: Final answer
    x = 574,316.40

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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.