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Finding the Fourth Proportional to 463,795.88, 695,781.27 and 175,693.76

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Solution

The fourth proportional to 463,795.88, 695,781.27 and 175,693.76 is: 263,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,795.88 : 695,781.27 = 175,693.76 : x
  2. Step 2: Convert to fraction form
    463,795.88/695,781.27 = 175,693.76/x
  3. Step 3: Cross multiply
    463,795.88x = 695,781.27 × 175,693.76
  4. Step 4: Simplify right side
    463,795.88x = 122,244,426,100.01
  5. Step 5: Solve for x
    x = 122,244,426,100.01/463,795.88
  6. Step 6: Final answer
    x = 263,573.77

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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.