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Finding the Fourth Proportional to 286,305.40, 429,458.10 and 75,964.60

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Solution

The fourth proportional to 286,305.40, 429,458.10 and 75,964.60 is: 113,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,305.40 : 429,458.10 = 75,964.60 : x
  2. Step 2: Convert to fraction form
    286,305.40/429,458.10 = 75,964.60/x
  3. Step 3: Cross multiply
    286,305.40x = 429,458.10 × 75,964.60
  4. Step 4: Simplify right side
    286,305.40x = 32,623,612,783.26
  5. Step 5: Solve for x
    x = 32,623,612,783.26/286,305.40
  6. Step 6: Final answer
    x = 113,946.90

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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.