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Finding the Fourth Proportional to 406,214.76, 608,924.43 and 169,625.10

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Solution

The fourth proportional to 406,214.76, 608,924.43 and 169,625.10 is: 254,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,214.76 : 608,924.43 = 169,625.10 : x
  2. Step 2: Convert to fraction form
    406,214.76/608,924.43 = 169,625.10/x
  3. Step 3: Cross multiply
    406,214.76x = 608,924.43 × 169,625.10
  4. Step 4: Simplify right side
    406,214.76x = 103,288,867,331.19
  5. Step 5: Solve for x
    x = 103,288,867,331.19/406,214.76
  6. Step 6: Final answer
    x = 254,271.58

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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.