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Finding the Fourth Proportional to 405,534.48, 608,400.84 and 285,824.88

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Solution

The fourth proportional to 405,534.48, 608,400.84 and 285,824.88 is: 428,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,534.48 : 608,400.84 = 285,824.88 : x
  2. Step 2: Convert to fraction form
    405,534.48/608,400.84 = 285,824.88/x
  3. Step 3: Cross multiply
    405,534.48x = 608,400.84 × 285,824.88
  4. Step 4: Simplify right side
    405,534.48x = 173,896,097,084.90
  5. Step 5: Solve for x
    x = 173,896,097,084.90/405,534.48
  6. Step 6: Final answer
    x = 428,807.18

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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.