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Finding the Fourth Proportional to 270,941.60, 406,412.40 and 164,653.40

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Solution

The fourth proportional to 270,941.60, 406,412.40 and 164,653.40 is: 246,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,941.60 : 406,412.40 = 164,653.40 : x
  2. Step 2: Convert to fraction form
    270,941.60/406,412.40 = 164,653.40/x
  3. Step 3: Cross multiply
    270,941.60x = 406,412.40 × 164,653.40
  4. Step 4: Simplify right side
    270,941.60x = 66,917,183,462.16
  5. Step 5: Solve for x
    x = 66,917,183,462.16/270,941.60
  6. Step 6: Final answer
    x = 246,980.10

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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.