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Finding the Fourth Proportional to 442,202.46, 610,463.72 and 260,969.42

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Solution

The fourth proportional to 442,202.46, 610,463.72 and 260,969.42 is: 360,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,202.46 : 610,463.72 = 260,969.42 : x
  2. Step 2: Convert to fraction form
    442,202.46/610,463.72 = 260,969.42/x
  3. Step 3: Cross multiply
    442,202.46x = 610,463.72 × 260,969.42
  4. Step 4: Simplify right side
    442,202.46x = 159,312,362,939.44
  5. Step 5: Solve for x
    x = 159,312,362,939.44/442,202.46
  6. Step 6: Final answer
    x = 360,270.19

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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.