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Finding the Fourth Proportional to 310,941.80, 466,412.70 and 171,586.16

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Solution

The fourth proportional to 310,941.80, 466,412.70 and 171,586.16 is: 257,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,941.80 : 466,412.70 = 171,586.16 : x
  2. Step 2: Convert to fraction form
    310,941.80/466,412.70 = 171,586.16/x
  3. Step 3: Cross multiply
    310,941.80x = 466,412.70 × 171,586.16
  4. Step 4: Simplify right side
    310,941.80x = 80,029,964,168.23
  5. Step 5: Solve for x
    x = 80,029,964,168.23/310,941.80
  6. Step 6: Final answer
    x = 257,379.24

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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.