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Finding the Fourth Proportional to 497,527.48, 746,287.50 and 142,541.80

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Solution

The fourth proportional to 497,527.48, 746,287.50 and 142,541.80 is: 213,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,527.48 : 746,287.50 = 142,541.80 : x
  2. Step 2: Convert to fraction form
    497,527.48/746,287.50 = 142,541.80/x
  3. Step 3: Cross multiply
    497,527.48x = 746,287.50 × 142,541.80
  4. Step 4: Simplify right side
    497,527.48x = 106,377,163,567.50
  5. Step 5: Solve for x
    x = 106,377,163,567.50/497,527.48
  6. Step 6: Final answer
    x = 213,811.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.