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Finding the Fourth Proportional to 416,445.44, 624,269.09 and 176,228.89

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Solution

The fourth proportional to 416,445.44, 624,269.09 and 176,228.89 is: 264,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,445.44 : 624,269.09 = 176,228.89 : x
  2. Step 2: Convert to fraction form
    416,445.44/624,269.09 = 176,228.89/x
  3. Step 3: Cross multiply
    416,445.44x = 624,269.09 × 176,228.89
  4. Step 4: Simplify right side
    416,445.44x = 110,014,248,792.01
  5. Step 5: Solve for x
    x = 110,014,248,792.01/416,445.44
  6. Step 6: Final answer
    x = 264,174.46

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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.