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Finding the Fourth Proportional to 475,196.58, 711,096.90 and 412,752.30

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Solution

The fourth proportional to 475,196.58, 711,096.90 and 412,752.30 is: 617,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,196.58 : 711,096.90 = 412,752.30 : x
  2. Step 2: Convert to fraction form
    475,196.58/711,096.90 = 412,752.30/x
  3. Step 3: Cross multiply
    475,196.58x = 711,096.90 × 412,752.30
  4. Step 4: Simplify right side
    475,196.58x = 293,506,880,997.87
  5. Step 5: Solve for x
    x = 293,506,880,997.87/475,196.58
  6. Step 6: Final answer
    x = 617,653.61

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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.