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Finding the Fourth Proportional to 415,867.29, 623,840.22 and 116,347.92

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Solution

The fourth proportional to 415,867.29, 623,840.22 and 116,347.92 is: 174,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,867.29 : 623,840.22 = 116,347.92 : x
  2. Step 2: Convert to fraction form
    415,867.29/623,840.22 = 116,347.92/x
  3. Step 3: Cross multiply
    415,867.29x = 623,840.22 × 116,347.92
  4. Step 4: Simplify right side
    415,867.29x = 72,582,512,009.34
  5. Step 5: Solve for x
    x = 72,582,512,009.34/415,867.29
  6. Step 6: Final answer
    x = 174,532.87

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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.