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Finding the Fourth Proportional to 497,695.54, 746,323.71 and 142,628.98

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Solution

The fourth proportional to 497,695.54, 746,323.71 and 142,628.98 is: 213,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,695.54 : 746,323.71 = 142,628.98 : x
  2. Step 2: Convert to fraction form
    497,695.54/746,323.71 = 142,628.98/x
  3. Step 3: Cross multiply
    497,695.54x = 746,323.71 × 142,628.98
  4. Step 4: Simplify right side
    497,695.54x = 106,447,389,507.12
  5. Step 5: Solve for x
    x = 106,447,389,507.12/497,695.54
  6. Step 6: Final answer
    x = 213,880.54

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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.