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Finding the Fourth Proportional to 416,029.20, 624,043.80 and 409,808.40

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Solution

The fourth proportional to 416,029.20, 624,043.80 and 409,808.40 is: 614,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,029.20 : 624,043.80 = 409,808.40 : x
  2. Step 2: Convert to fraction form
    416,029.20/624,043.80 = 409,808.40/x
  3. Step 3: Cross multiply
    416,029.20x = 624,043.80 × 409,808.40
  4. Step 4: Simplify right side
    416,029.20x = 255,738,391,207.92
  5. Step 5: Solve for x
    x = 255,738,391,207.92/416,029.20
  6. Step 6: Final answer
    x = 614,712.60

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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.