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Finding the Fourth Proportional to 442,164, 610,190.64 and 240,964.32

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Solution

The fourth proportional to 442,164, 610,190.64 and 240,964.32 is: 332,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,164 : 610,190.64 = 240,964.32 : x
  2. Step 2: Convert to fraction form
    442,164/610,190.64 = 240,964.32/x
  3. Step 3: Cross multiply
    442,164x = 610,190.64 × 240,964.32
  4. Step 4: Simplify right side
    442,164x = 147,034,172,637.97
  5. Step 5: Solve for x
    x = 147,034,172,637.97/442,164
  6. Step 6: Final answer
    x = 332,533.12

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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.