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Finding the Fourth Proportional to 296,602.96, 444,811.48 and 96,877.84

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Solution

The fourth proportional to 296,602.96, 444,811.48 and 96,877.84 is: 145,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,602.96 : 444,811.48 = 96,877.84 : x
  2. Step 2: Convert to fraction form
    296,602.96/444,811.48 = 96,877.84/x
  3. Step 3: Cross multiply
    296,602.96x = 444,811.48 × 96,877.84
  4. Step 4: Simplify right side
    296,602.96x = 43,092,375,389.60
  5. Step 5: Solve for x
    x = 43,092,375,389.60/296,602.96
  6. Step 6: Final answer
    x = 145,286.40

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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.