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Finding the Fourth Proportional to 477,881.14, 716,821.99 and 327,666.01

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Solution

The fourth proportional to 477,881.14, 716,821.99 and 327,666.01 is: 491,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,881.14 : 716,821.99 = 327,666.01 : x
  2. Step 2: Convert to fraction form
    477,881.14/716,821.99 = 327,666.01/x
  3. Step 3: Cross multiply
    477,881.14x = 716,821.99 × 327,666.01
  4. Step 4: Simplify right side
    477,881.14x = 234,878,205,168.62
  5. Step 5: Solve for x
    x = 234,878,205,168.62/477,881.14
  6. Step 6: Final answer
    x = 491,499.22

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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.