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Finding the Fourth Proportional to 463,864.40, 695,796.60 and 277,240.40

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Solution

The fourth proportional to 463,864.40, 695,796.60 and 277,240.40 is: 415,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,864.40 : 695,796.60 = 277,240.40 : x
  2. Step 2: Convert to fraction form
    463,864.40/695,796.60 = 277,240.40/x
  3. Step 3: Cross multiply
    463,864.40x = 695,796.60 × 277,240.40
  4. Step 4: Simplify right side
    463,864.40x = 192,902,927,702.64
  5. Step 5: Solve for x
    x = 192,902,927,702.64/463,864.40
  6. Step 6: Final answer
    x = 415,860.60

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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.