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Finding the Fourth Proportional to 438,400.65, 605,053.89 and 257,171.25

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Solution

The fourth proportional to 438,400.65, 605,053.89 and 257,171.25 is: 354,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,400.65 : 605,053.89 = 257,171.25 : x
  2. Step 2: Convert to fraction form
    438,400.65/605,053.89 = 257,171.25/x
  3. Step 3: Cross multiply
    438,400.65x = 605,053.89 × 257,171.25
  4. Step 4: Simplify right side
    438,400.65x = 155,602,465,208.66
  5. Step 5: Solve for x
    x = 155,602,465,208.66/438,400.65
  6. Step 6: Final answer
    x = 354,932.10

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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.