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Finding the Fourth Proportional to 411,505.65, 567,563.76 and 354,239.06

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Solution

The fourth proportional to 411,505.65, 567,563.76 and 354,239.06 is: 488,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,505.65 : 567,563.76 = 354,239.06 : x
  2. Step 2: Convert to fraction form
    411,505.65/567,563.76 = 354,239.06/x
  3. Step 3: Cross multiply
    411,505.65x = 567,563.76 × 354,239.06
  4. Step 4: Simplify right side
    411,505.65x = 201,053,249,994.65
  5. Step 5: Solve for x
    x = 201,053,249,994.65/411,505.65
  6. Step 6: Final answer
    x = 488,579.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.