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Finding the Fourth Proportional to 403,097.31, 604,513.53 and 178,453.13

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Solution

The fourth proportional to 403,097.31, 604,513.53 and 178,453.13 is: 267,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,097.31 : 604,513.53 = 178,453.13 : x
  2. Step 2: Convert to fraction form
    403,097.31/604,513.53 = 178,453.13/x
  3. Step 3: Cross multiply
    403,097.31x = 604,513.53 × 178,453.13
  4. Step 4: Simplify right side
    403,097.31x = 107,877,328,533.28
  5. Step 5: Solve for x
    x = 107,877,328,533.28/403,097.31
  6. Step 6: Final answer
    x = 267,621.06

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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.