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Finding the Fourth Proportional to 314,086.80, 470,984.40 and 136,502.40

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Solution

The fourth proportional to 314,086.80, 470,984.40 and 136,502.40 is: 204,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,086.80 : 470,984.40 = 136,502.40 : x
  2. Step 2: Convert to fraction form
    314,086.80/470,984.40 = 136,502.40/x
  3. Step 3: Cross multiply
    314,086.80x = 470,984.40 × 136,502.40
  4. Step 4: Simplify right side
    314,086.80x = 64,290,500,962.56
  5. Step 5: Solve for x
    x = 64,290,500,962.56/314,086.80
  6. Step 6: Final answer
    x = 204,690.24

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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.