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Finding the Fourth Proportional to 264,470.20, 364,968.46 and 145,238.20

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Solution

The fourth proportional to 264,470.20, 364,968.46 and 145,238.20 is: 200,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,470.20 : 364,968.46 = 145,238.20 : x
  2. Step 2: Convert to fraction form
    264,470.20/364,968.46 = 145,238.20/x
  3. Step 3: Cross multiply
    264,470.20x = 364,968.46 × 145,238.20
  4. Step 4: Simplify right side
    264,470.20x = 53,007,362,187.17
  5. Step 5: Solve for x
    x = 53,007,362,187.17/264,470.20
  6. Step 6: Final answer
    x = 200,428.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.