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Finding the Fourth Proportional to 431,535.76, 595,577.64 and 261,742.48

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Solution

The fourth proportional to 431,535.76, 595,577.64 and 261,742.48 is: 361,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,535.76 : 595,577.64 = 261,742.48 : x
  2. Step 2: Convert to fraction form
    431,535.76/595,577.64 = 261,742.48/x
  3. Step 3: Cross multiply
    431,535.76x = 595,577.64 × 261,742.48
  4. Step 4: Simplify right side
    431,535.76x = 155,887,968,526.15
  5. Step 5: Solve for x
    x = 155,887,968,526.15/431,535.76
  6. Step 6: Final answer
    x = 361,239.98

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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.