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Finding the Fourth Proportional to 406,269.52, 609,461.03 and 169,558

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Solution

The fourth proportional to 406,269.52, 609,461.03 and 169,558 is: 254,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,269.52 : 609,461.03 = 169,558 : x
  2. Step 2: Convert to fraction form
    406,269.52/609,461.03 = 169,558/x
  3. Step 3: Cross multiply
    406,269.52x = 609,461.03 × 169,558
  4. Step 4: Simplify right side
    406,269.52x = 103,338,993,324.74
  5. Step 5: Solve for x
    x = 103,338,993,324.74/406,269.52
  6. Step 6: Final answer
    x = 254,360.68

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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.