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Finding the Fourth Proportional to 538,013.51, 805,970.38 and 419,128.19

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Solution

The fourth proportional to 538,013.51, 805,970.38 and 419,128.19 is: 627,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,013.51 : 805,970.38 = 419,128.19 : x
  2. Step 2: Convert to fraction form
    538,013.51/805,970.38 = 419,128.19/x
  3. Step 3: Cross multiply
    538,013.51x = 805,970.38 × 419,128.19
  4. Step 4: Simplify right side
    538,013.51x = 337,804,900,437.52
  5. Step 5: Solve for x
    x = 337,804,900,437.52/538,013.51
  6. Step 6: Final answer
    x = 627,874.39

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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.