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Finding the Fourth Proportional to 416,458.56, 624,425.36 and 353,300.88

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Solution

The fourth proportional to 416,458.56, 624,425.36 and 353,300.88 is: 529,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,458.56 : 624,425.36 = 353,300.88 : x
  2. Step 2: Convert to fraction form
    416,458.56/624,425.36 = 353,300.88/x
  3. Step 3: Cross multiply
    416,458.56x = 624,425.36 × 353,300.88
  4. Step 4: Simplify right side
    416,458.56x = 220,610,029,182.32
  5. Step 5: Solve for x
    x = 220,610,029,182.32/416,458.56
  6. Step 6: Final answer
    x = 529,728.65

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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.