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Finding the Fourth Proportional to 720,426.12, 994,159.94 and 414,601

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Solution

The fourth proportional to 720,426.12, 994,159.94 and 414,601 is: 572,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,426.12 : 994,159.94 = 414,601 : x
  2. Step 2: Convert to fraction form
    720,426.12/994,159.94 = 414,601/x
  3. Step 3: Cross multiply
    720,426.12x = 994,159.94 × 414,601
  4. Step 4: Simplify right side
    720,426.12x = 412,179,705,283.94
  5. Step 5: Solve for x
    x = 412,179,705,283.94/720,426.12
  6. Step 6: Final answer
    x = 572,133.21

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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.