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Finding the Fourth Proportional to 314,523.60, 470,863.80 and 277,659.60

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Solution

The fourth proportional to 314,523.60, 470,863.80 and 277,659.60 is: 415,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,523.60 : 470,863.80 = 277,659.60 : x
  2. Step 2: Convert to fraction form
    314,523.60/470,863.80 = 277,659.60/x
  3. Step 3: Cross multiply
    314,523.60x = 470,863.80 × 277,659.60
  4. Step 4: Simplify right side
    314,523.60x = 130,739,854,362.48
  5. Step 5: Solve for x
    x = 130,739,854,362.48/314,523.60
  6. Step 6: Final answer
    x = 415,675.82

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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.