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Finding the Fourth Proportional to 416,145.60, 624,434.40 and 194,529.60

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Solution

The fourth proportional to 416,145.60, 624,434.40 and 194,529.60 is: 291,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,145.60 : 624,434.40 = 194,529.60 : x
  2. Step 2: Convert to fraction form
    416,145.60/624,434.40 = 194,529.60/x
  3. Step 3: Cross multiply
    416,145.60x = 624,434.40 × 194,529.60
  4. Step 4: Simplify right side
    416,145.60x = 121,470,974,058.24
  5. Step 5: Solve for x
    x = 121,470,974,058.24/416,145.60
  6. Step 6: Final answer
    x = 291,895.37

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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.