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Finding the Fourth Proportional to 461,941.60, 692,912.40 and 414,702.40

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Solution

The fourth proportional to 461,941.60, 692,912.40 and 414,702.40 is: 622,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,941.60 : 692,912.40 = 414,702.40 : x
  2. Step 2: Convert to fraction form
    461,941.60/692,912.40 = 414,702.40/x
  3. Step 3: Cross multiply
    461,941.60x = 692,912.40 × 414,702.40
  4. Step 4: Simplify right side
    461,941.60x = 287,352,435,269.76
  5. Step 5: Solve for x
    x = 287,352,435,269.76/461,941.60
  6. Step 6: Final answer
    x = 622,053.60

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1.5x scale

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.