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Finding the Fourth Proportional to 531,817.31, 797,732.91 and 176,831.33

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Solution

The fourth proportional to 531,817.31, 797,732.91 and 176,831.33 is: 265,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,817.31 : 797,732.91 = 176,831.33 : x
  2. Step 2: Convert to fraction form
    531,817.31/797,732.91 = 176,831.33/x
  3. Step 3: Cross multiply
    531,817.31x = 797,732.91 × 176,831.33
  4. Step 4: Simplify right side
    531,817.31x = 141,064,174,117.52
  5. Step 5: Solve for x
    x = 141,064,174,117.52/531,817.31
  6. Step 6: Final answer
    x = 265,249.31

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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.