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Finding the Fourth Proportional to 567,905.80, 851,081.10 and 462,929.80

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Solution

The fourth proportional to 567,905.80, 851,081.10 and 462,929.80 is: 693,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,905.80 : 851,081.10 = 462,929.80 : x
  2. Step 2: Convert to fraction form
    567,905.80/851,081.10 = 462,929.80/x
  3. Step 3: Cross multiply
    567,905.80x = 851,081.10 × 462,929.80
  4. Step 4: Simplify right side
    567,905.80x = 393,990,803,406.78
  5. Step 5: Solve for x
    x = 393,990,803,406.78/567,905.80
  6. Step 6: Final answer
    x = 693,760.84

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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.