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Finding the Fourth Proportional to 428,222.40, 642,297.14 and 175,430.71

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Solution

The fourth proportional to 428,222.40, 642,297.14 and 175,430.71 is: 263,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,222.40 : 642,297.14 = 175,430.71 : x
  2. Step 2: Convert to fraction form
    428,222.40/642,297.14 = 175,430.71/x
  3. Step 3: Cross multiply
    428,222.40x = 642,297.14 × 175,430.71
  4. Step 4: Simplify right side
    428,222.40x = 112,678,644,871.55
  5. Step 5: Solve for x
    x = 112,678,644,871.55/428,222.40
  6. Step 6: Final answer
    x = 263,131.13

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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.