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Finding the Fourth Proportional to 465,962.44, 643,032.66 and 264,759.88

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Solution

The fourth proportional to 465,962.44, 643,032.66 and 264,759.88 is: 365,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,962.44 : 643,032.66 = 264,759.88 : x
  2. Step 2: Convert to fraction form
    465,962.44/643,032.66 = 264,759.88/x
  3. Step 3: Cross multiply
    465,962.44x = 643,032.66 × 264,759.88
  4. Step 4: Simplify right side
    465,962.44x = 170,249,249,897.68
  5. Step 5: Solve for x
    x = 170,249,249,897.68/465,962.44
  6. Step 6: Final answer
    x = 365,371.19

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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.