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Finding the Fourth Proportional to 477,482.13, 716,039.10 and 211,096.44

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Solution

The fourth proportional to 477,482.13, 716,039.10 and 211,096.44 is: 316,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,482.13 : 716,039.10 = 211,096.44 : x
  2. Step 2: Convert to fraction form
    477,482.13/716,039.10 = 211,096.44/x
  3. Step 3: Cross multiply
    477,482.13x = 716,039.10 × 211,096.44
  4. Step 4: Simplify right side
    477,482.13x = 151,153,304,910.80
  5. Step 5: Solve for x
    x = 151,153,304,910.80/477,482.13
  6. Step 6: Final answer
    x = 316,563.27

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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.