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Finding the Fourth Proportional to 546,871.26, 754,840.77 and 317,480.07

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Solution

The fourth proportional to 546,871.26, 754,840.77 and 317,480.07 is: 438,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,871.26 : 754,840.77 = 317,480.07 : x
  2. Step 2: Convert to fraction form
    546,871.26/754,840.77 = 317,480.07/x
  3. Step 3: Cross multiply
    546,871.26x = 754,840.77 × 317,480.07
  4. Step 4: Simplify right side
    546,871.26x = 239,646,900,498.45
  5. Step 5: Solve for x
    x = 239,646,900,498.45/546,871.26
  6. Step 6: Final answer
    x = 438,214.47

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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.