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Finding the Fourth Proportional to 411,090.88, 616,787.52 and 293,686.24

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Solution

The fourth proportional to 411,090.88, 616,787.52 and 293,686.24 is: 440,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,090.88 : 616,787.52 = 293,686.24 : x
  2. Step 2: Convert to fraction form
    411,090.88/616,787.52 = 293,686.24/x
  3. Step 3: Cross multiply
    411,090.88x = 616,787.52 × 293,686.24
  4. Step 4: Simplify right side
    411,090.88x = 181,142,007,627.73
  5. Step 5: Solve for x
    x = 181,142,007,627.73/411,090.88
  6. Step 6: Final answer
    x = 440,637.38

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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.