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Finding the Fourth Proportional to 406,548.64, 561,078.66 and 234,473.32

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Solution

The fourth proportional to 406,548.64, 561,078.66 and 234,473.32 is: 323,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,548.64 : 561,078.66 = 234,473.32 : x
  2. Step 2: Convert to fraction form
    406,548.64/561,078.66 = 234,473.32/x
  3. Step 3: Cross multiply
    406,548.64x = 561,078.66 × 234,473.32
  4. Step 4: Simplify right side
    406,548.64x = 131,557,976,191.35
  5. Step 5: Solve for x
    x = 131,557,976,191.35/406,548.64
  6. Step 6: Final answer
    x = 323,597.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.