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Finding the Fourth Proportional to 406,820.25, 610,230.42 and 157,502.25

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Solution

The fourth proportional to 406,820.25, 610,230.42 and 157,502.25 is: 236,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,820.25 : 610,230.42 = 157,502.25 : x
  2. Step 2: Convert to fraction form
    406,820.25/610,230.42 = 157,502.25/x
  3. Step 3: Cross multiply
    406,820.25x = 610,230.42 × 157,502.25
  4. Step 4: Simplify right side
    406,820.25x = 96,112,664,168.45
  5. Step 5: Solve for x
    x = 96,112,664,168.45/406,820.25
  6. Step 6: Final answer
    x = 236,253.39

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1.5x scale

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.