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Finding the Fourth Proportional to 542,894.01, 749,194.61 and 301,176.60

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Solution

The fourth proportional to 542,894.01, 749,194.61 and 301,176.60 is: 415,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,894.01 : 749,194.61 = 301,176.60 : x
  2. Step 2: Convert to fraction form
    542,894.01/749,194.61 = 301,176.60/x
  3. Step 3: Cross multiply
    542,894.01x = 749,194.61 × 301,176.60
  4. Step 4: Simplify right side
    542,894.01x = 225,639,885,378.13
  5. Step 5: Solve for x
    x = 225,639,885,378.13/542,894.01
  6. Step 6: Final answer
    x = 415,624.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.