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Finding the Fourth Proportional to 416,005.60, 624,008.40 and 227,048.80

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Solution

The fourth proportional to 416,005.60, 624,008.40 and 227,048.80 is: 340,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,005.60 : 624,008.40 = 227,048.80 : x
  2. Step 2: Convert to fraction form
    416,005.60/624,008.40 = 227,048.80/x
  3. Step 3: Cross multiply
    416,005.60x = 624,008.40 × 227,048.80
  4. Step 4: Simplify right side
    416,005.60x = 141,680,358,409.92
  5. Step 5: Solve for x
    x = 141,680,358,409.92/416,005.60
  6. Step 6: Final answer
    x = 340,573.20

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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.