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Finding the Fourth Proportional to 387,097.20, 579,877.80 and 340,914.80

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Solution

The fourth proportional to 387,097.20, 579,877.80 and 340,914.80 is: 510,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,097.20 : 579,877.80 = 340,914.80 : x
  2. Step 2: Convert to fraction form
    387,097.20/579,877.80 = 340,914.80/x
  3. Step 3: Cross multiply
    387,097.20x = 579,877.80 × 340,914.80
  4. Step 4: Simplify right side
    387,097.20x = 197,688,924,211.44
  5. Step 5: Solve for x
    x = 197,688,924,211.44/387,097.20
  6. Step 6: Final answer
    x = 510,695.83

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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.