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Finding the Fourth Proportional to 436,123.80, 654,185.70 and 409,858.20

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Solution

The fourth proportional to 436,123.80, 654,185.70 and 409,858.20 is: 614,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,123.80 : 654,185.70 = 409,858.20 : x
  2. Step 2: Convert to fraction form
    436,123.80/654,185.70 = 409,858.20/x
  3. Step 3: Cross multiply
    436,123.80x = 654,185.70 × 409,858.20
  4. Step 4: Simplify right side
    436,123.80x = 268,123,373,467.74
  5. Step 5: Solve for x
    x = 268,123,373,467.74/436,123.80
  6. Step 6: Final answer
    x = 614,787.30

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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.