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Finding the Fourth Proportional to 476,474.86, 714,799.95 and 156,644.74

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Solution

The fourth proportional to 476,474.86, 714,799.95 and 156,644.74 is: 234,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,474.86 : 714,799.95 = 156,644.74 : x
  2. Step 2: Convert to fraction form
    476,474.86/714,799.95 = 156,644.74/x
  3. Step 3: Cross multiply
    476,474.86x = 714,799.95 × 156,644.74
  4. Step 4: Simplify right side
    476,474.86x = 111,969,652,319.76
  5. Step 5: Solve for x
    x = 111,969,652,319.76/476,474.86
  6. Step 6: Final answer
    x = 234,995.93

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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.