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Finding the Fourth Proportional to 405,416.46, 608,223.64 and 285,706.82

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Solution

The fourth proportional to 405,416.46, 608,223.64 and 285,706.82 is: 428,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,416.46 : 608,223.64 = 285,706.82 : x
  2. Step 2: Convert to fraction form
    405,416.46/608,223.64 = 285,706.82/x
  3. Step 3: Cross multiply
    405,416.46x = 608,223.64 × 285,706.82
  4. Step 4: Simplify right side
    405,416.46x = 173,773,642,033.23
  5. Step 5: Solve for x
    x = 173,773,642,033.23/405,416.46
  6. Step 6: Final answer
    x = 428,629.96

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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.