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Finding the Fourth Proportional to 314,114.22, 470,899.17 and 127,004.22

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Solution

The fourth proportional to 314,114.22, 470,899.17 and 127,004.22 is: 190,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,114.22 : 470,899.17 = 127,004.22 : x
  2. Step 2: Convert to fraction form
    314,114.22/470,899.17 = 127,004.22/x
  3. Step 3: Cross multiply
    314,114.22x = 470,899.17 × 127,004.22
  4. Step 4: Simplify right side
    314,114.22x = 59,806,181,784.50
  5. Step 5: Solve for x
    x = 59,806,181,784.50/314,114.22
  6. Step 6: Final answer
    x = 190,396.29

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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.