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Finding the Fourth Proportional to 463,787.20, 696,525.60 and 405,726.40

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Solution

The fourth proportional to 463,787.20, 696,525.60 and 405,726.40 is: 609,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,787.20 : 696,525.60 = 405,726.40 : x
  2. Step 2: Convert to fraction form
    463,787.20/696,525.60 = 405,726.40/x
  3. Step 3: Cross multiply
    463,787.20x = 696,525.60 × 405,726.40
  4. Step 4: Simplify right side
    463,787.20x = 282,598,824,195.84
  5. Step 5: Solve for x
    x = 282,598,824,195.84/463,787.20
  6. Step 6: Final answer
    x = 609,328.64

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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.