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Finding the Fourth Proportional to 407,630.34, 611,444.70 and 267,356.16

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Solution

The fourth proportional to 407,630.34, 611,444.70 and 267,356.16 is: 401,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,630.34 : 611,444.70 = 267,356.16 : x
  2. Step 2: Convert to fraction form
    407,630.34/611,444.70 = 267,356.16/x
  3. Step 3: Cross multiply
    407,630.34x = 611,444.70 × 267,356.16
  4. Step 4: Simplify right side
    407,630.34x = 163,473,507,044.35
  5. Step 5: Solve for x
    x = 163,473,507,044.35/407,630.34
  6. Step 6: Final answer
    x = 401,033.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.