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Finding the Fourth Proportional to 406,534.40, 609,801.60 and 184,918.40

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Solution

The fourth proportional to 406,534.40, 609,801.60 and 184,918.40 is: 277,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,534.40 : 609,801.60 = 184,918.40 : x
  2. Step 2: Convert to fraction form
    406,534.40/609,801.60 = 184,918.40/x
  3. Step 3: Cross multiply
    406,534.40x = 609,801.60 × 184,918.40
  4. Step 4: Simplify right side
    406,534.40x = 112,763,536,189.44
  5. Step 5: Solve for x
    x = 112,763,536,189.44/406,534.40
  6. Step 6: Final answer
    x = 277,377.60

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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.