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Finding the Fourth Proportional to 406,496.46, 609,744.93 and 169,710.06

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Solution

The fourth proportional to 406,496.46, 609,744.93 and 169,710.06 is: 254,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,496.46 : 609,744.93 = 169,710.06 : x
  2. Step 2: Convert to fraction form
    406,496.46/609,744.93 = 169,710.06/x
  3. Step 3: Cross multiply
    406,496.46x = 609,744.93 × 169,710.06
  4. Step 4: Simplify right side
    406,496.46x = 103,479,848,655.00
  5. Step 5: Solve for x
    x = 103,479,848,655.00/406,496.46
  6. Step 6: Final answer
    x = 254,565.19

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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.