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Finding the Fourth Proportional to 523,090.36, 784,751.82 and 190,666.36

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Solution

The fourth proportional to 523,090.36, 784,751.82 and 190,666.36 is: 286,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,090.36 : 784,751.82 = 190,666.36 : x
  2. Step 2: Convert to fraction form
    523,090.36/784,751.82 = 190,666.36/x
  3. Step 3: Cross multiply
    523,090.36x = 784,751.82 × 190,666.36
  4. Step 4: Simplify right side
    523,090.36x = 149,625,773,022.78
  5. Step 5: Solve for x
    x = 149,625,773,022.78/523,090.36
  6. Step 6: Final answer
    x = 286,041.92

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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.