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Finding the Fourth Proportional to 464,468.40, 696,702.60 and 277,844.40

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Solution

The fourth proportional to 464,468.40, 696,702.60 and 277,844.40 is: 416,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,468.40 : 696,702.60 = 277,844.40 : x
  2. Step 2: Convert to fraction form
    464,468.40/696,702.60 = 277,844.40/x
  3. Step 3: Cross multiply
    464,468.40x = 696,702.60 × 277,844.40
  4. Step 4: Simplify right side
    464,468.40x = 193,574,915,875.44
  5. Step 5: Solve for x
    x = 193,574,915,875.44/464,468.40
  6. Step 6: Final answer
    x = 416,766.60

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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.