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Finding the Fourth Proportional to 476,212.32, 657,151.92 and 261,352.80

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Solution

The fourth proportional to 476,212.32, 657,151.92 and 261,352.80 is: 360,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,212.32 : 657,151.92 = 261,352.80 : x
  2. Step 2: Convert to fraction form
    476,212.32/657,151.92 = 261,352.80/x
  3. Step 3: Cross multiply
    476,212.32x = 657,151.92 × 261,352.80
  4. Step 4: Simplify right side
    476,212.32x = 171,748,494,317.38
  5. Step 5: Solve for x
    x = 171,748,494,317.38/476,212.32
  6. Step 6: Final answer
    x = 360,655.29

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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.