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Finding the Fourth Proportional to 474,872.58, 712,649.88 and 186,728.04

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Solution

The fourth proportional to 474,872.58, 712,649.88 and 186,728.04 is: 280,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,872.58 : 712,649.88 = 186,728.04 : x
  2. Step 2: Convert to fraction form
    474,872.58/712,649.88 = 186,728.04/x
  3. Step 3: Cross multiply
    474,872.58x = 712,649.88 × 186,728.04
  4. Step 4: Simplify right side
    474,872.58x = 133,071,715,298.64
  5. Step 5: Solve for x
    x = 133,071,715,298.64/474,872.58
  6. Step 6: Final answer
    x = 280,226.15

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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.