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Finding the Fourth Proportional to 314,021.80, 470,514.30 and 267,365.80

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Solution

The fourth proportional to 314,021.80, 470,514.30 and 267,365.80 is: 400,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,021.80 : 470,514.30 = 267,365.80 : x
  2. Step 2: Convert to fraction form
    314,021.80/470,514.30 = 267,365.80/x
  3. Step 3: Cross multiply
    314,021.80x = 470,514.30 × 267,365.80
  4. Step 4: Simplify right side
    314,021.80x = 125,799,432,230.94
  5. Step 5: Solve for x
    x = 125,799,432,230.94/314,021.80
  6. Step 6: Final answer
    x = 400,607.32

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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.