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Finding the Fourth Proportional to 406,732, 610,149.02 and 122,378.26

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Solution

The fourth proportional to 406,732, 610,149.02 and 122,378.26 is: 183,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,732 : 610,149.02 = 122,378.26 : x
  2. Step 2: Convert to fraction form
    406,732/610,149.02 = 122,378.26/x
  3. Step 3: Cross multiply
    406,732x = 610,149.02 × 122,378.26
  4. Step 4: Simplify right side
    406,732x = 74,668,975,408.31
  5. Step 5: Solve for x
    x = 74,668,975,408.31/406,732
  6. Step 6: Final answer
    x = 183,582.74

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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.