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Finding the Fourth Proportional to 406,496.40, 609,809.40 and 169,717.20

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Solution

The fourth proportional to 406,496.40, 609,809.40 and 169,717.20 is: 254,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,496.40 : 609,809.40 = 169,717.20 : x
  2. Step 2: Convert to fraction form
    406,496.40/609,809.40 = 169,717.20/x
  3. Step 3: Cross multiply
    406,496.40x = 609,809.40 × 169,717.20
  4. Step 4: Simplify right side
    406,496.40x = 103,495,143,901.68
  5. Step 5: Solve for x
    x = 103,495,143,901.68/406,496.40
  6. Step 6: Final answer
    x = 254,602.85

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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.