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Finding the Fourth Proportional to 361,946.60, 542,657.46 and 243,323.72

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Solution

The fourth proportional to 361,946.60, 542,657.46 and 243,323.72 is: 364,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,946.60 : 542,657.46 = 243,323.72 : x
  2. Step 2: Convert to fraction form
    361,946.60/542,657.46 = 243,323.72/x
  3. Step 3: Cross multiply
    361,946.60x = 542,657.46 × 243,323.72
  4. Step 4: Simplify right side
    361,946.60x = 132,041,431,852.95
  5. Step 5: Solve for x
    x = 132,041,431,852.95/361,946.60
  6. Step 6: Final answer
    x = 364,809.15

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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.