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Finding the Fourth Proportional to 506,075.33, 698,383.92 and 276,633.58

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Solution

The fourth proportional to 506,075.33, 698,383.92 and 276,633.58 is: 381,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,075.33 : 698,383.92 = 276,633.58 : x
  2. Step 2: Convert to fraction form
    506,075.33/698,383.92 = 276,633.58/x
  3. Step 3: Cross multiply
    506,075.33x = 698,383.92 × 276,633.58
  4. Step 4: Simplify right side
    506,075.33x = 193,196,444,004.03
  5. Step 5: Solve for x
    x = 193,196,444,004.03/506,075.33
  6. Step 6: Final answer
    x = 381,754.32

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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.