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Finding the Fourth Proportional to 423,049.46, 634,290.24 and 166,647.56

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Solution

The fourth proportional to 423,049.46, 634,290.24 and 166,647.56 is: 249,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,049.46 : 634,290.24 = 166,647.56 : x
  2. Step 2: Convert to fraction form
    423,049.46/634,290.24 = 166,647.56/x
  3. Step 3: Cross multiply
    423,049.46x = 634,290.24 × 166,647.56
  4. Step 4: Simplify right side
    423,049.46x = 105,702,920,827.81
  5. Step 5: Solve for x
    x = 105,702,920,827.81/423,049.46
  6. Step 6: Final answer
    x = 249,859.49

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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.