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Finding the Fourth Proportional to 411,207.20, 616,810.80 and 395,460.80

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Solution

The fourth proportional to 411,207.20, 616,810.80 and 395,460.80 is: 593,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,207.20 : 616,810.80 = 395,460.80 : x
  2. Step 2: Convert to fraction form
    411,207.20/616,810.80 = 395,460.80/x
  3. Step 3: Cross multiply
    411,207.20x = 616,810.80 × 395,460.80
  4. Step 4: Simplify right side
    411,207.20x = 243,924,492,416.64
  5. Step 5: Solve for x
    x = 243,924,492,416.64/411,207.20
  6. Step 6: Final answer
    x = 593,191.20

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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.