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Finding the Fourth Proportional to 461,760.93, 692,040.59 and 187,887.96

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Solution

The fourth proportional to 461,760.93, 692,040.59 and 187,887.96 is: 281,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,760.93 : 692,040.59 = 187,887.96 : x
  2. Step 2: Convert to fraction form
    461,760.93/692,040.59 = 187,887.96/x
  3. Step 3: Cross multiply
    461,760.93x = 692,040.59 × 187,887.96
  4. Step 4: Simplify right side
    461,760.93x = 130,026,090,292.65
  5. Step 5: Solve for x
    x = 130,026,090,292.65/461,760.93
  6. Step 6: Final answer
    x = 281,587.47

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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.