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Finding the Fourth Proportional to 416,567.56, 624,851.34 and 101,023.96

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Solution

The fourth proportional to 416,567.56, 624,851.34 and 101,023.96 is: 151,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,567.56 : 624,851.34 = 101,023.96 : x
  2. Step 2: Convert to fraction form
    416,567.56/624,851.34 = 101,023.96/x
  3. Step 3: Cross multiply
    416,567.56x = 624,851.34 × 101,023.96
  4. Step 4: Simplify right side
    416,567.56x = 63,124,956,778.11
  5. Step 5: Solve for x
    x = 63,124,956,778.11/416,567.56
  6. Step 6: Final answer
    x = 151,535.94

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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.