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Finding the Fourth Proportional to 542,894.04, 749,194.64 and 301,176.60

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Solution

The fourth proportional to 542,894.04, 749,194.64 and 301,176.60 is: 415,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,894.04 : 749,194.64 = 301,176.60 : x
  2. Step 2: Convert to fraction form
    542,894.04/749,194.64 = 301,176.60/x
  3. Step 3: Cross multiply
    542,894.04x = 749,194.64 × 301,176.60
  4. Step 4: Simplify right side
    542,894.04x = 225,639,894,413.42
  5. Step 5: Solve for x
    x = 225,639,894,413.42/542,894.04
  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.