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Finding the Fourth Proportional to 287,953.58, 431,881.17 and 77,542.31

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Solution

The fourth proportional to 287,953.58, 431,881.17 and 77,542.31 is: 116,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,953.58 : 431,881.17 = 77,542.31 : x
  2. Step 2: Convert to fraction form
    287,953.58/431,881.17 = 77,542.31/x
  3. Step 3: Cross multiply
    287,953.58x = 431,881.17 × 77,542.31
  4. Step 4: Simplify right side
    287,953.58x = 33,489,064,356.22
  5. Step 5: Solve for x
    x = 33,489,064,356.22/287,953.58
  6. Step 6: Final answer
    x = 116,300.22

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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.