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Finding the Fourth Proportional to 285,561.41, 428,231.40 and 152,369.01

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Solution

The fourth proportional to 285,561.41, 428,231.40 and 152,369.01 is: 228,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,561.41 : 428,231.40 = 152,369.01 : x
  2. Step 2: Convert to fraction form
    285,561.41/428,231.40 = 152,369.01/x
  3. Step 3: Cross multiply
    285,561.41x = 428,231.40 × 152,369.01
  4. Step 4: Simplify right side
    285,561.41x = 65,249,195,503.40
  5. Step 5: Solve for x
    x = 65,249,195,503.40/285,561.41
  6. Step 6: Final answer
    x = 228,494.44

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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.