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Finding the Fourth Proportional to 416,458.40, 624,323.10 and 282,905.60

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Solution

The fourth proportional to 416,458.40, 624,323.10 and 282,905.60 is: 424,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,458.40 : 624,323.10 = 282,905.60 : x
  2. Step 2: Convert to fraction form
    416,458.40/624,323.10 = 282,905.60/x
  3. Step 3: Cross multiply
    416,458.40x = 624,323.10 × 282,905.60
  4. Step 4: Simplify right side
    416,458.40x = 176,624,501,199.36
  5. Step 5: Solve for x
    x = 176,624,501,199.36/416,458.40
  6. Step 6: Final answer
    x = 424,110.79

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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.