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Finding the Fourth Proportional to 282,506.25, 389,861.49 and 153,447.24

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Solution

The fourth proportional to 282,506.25, 389,861.49 and 153,447.24 is: 211,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,506.25 : 389,861.49 = 153,447.24 : x
  2. Step 2: Convert to fraction form
    282,506.25/389,861.49 = 153,447.24/x
  3. Step 3: Cross multiply
    282,506.25x = 389,861.49 × 153,447.24
  4. Step 4: Simplify right side
    282,506.25x = 59,823,169,622.79
  5. Step 5: Solve for x
    x = 59,823,169,622.79/282,506.25
  6. Step 6: Final answer
    x = 211,758.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.