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Finding the Fourth Proportional to 243,021.64, 362,774.36 and 209,954.20

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Solution

The fourth proportional to 243,021.64, 362,774.36 and 209,954.20 is: 313,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,021.64 : 362,774.36 = 209,954.20 : x
  2. Step 2: Convert to fraction form
    243,021.64/362,774.36 = 209,954.20/x
  3. Step 3: Cross multiply
    243,021.64x = 362,774.36 × 209,954.20
  4. Step 4: Simplify right side
    243,021.64x = 76,166,000,534.31
  5. Step 5: Solve for x
    x = 76,166,000,534.31/243,021.64
  6. Step 6: Final answer
    x = 313,412.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.