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Finding the Fourth Proportional to 777,832.80, 1,164,416.40 and 462,127.20

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Solution

The fourth proportional to 777,832.80, 1,164,416.40 and 462,127.20 is: 691,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,832.80 : 1,164,416.40 = 462,127.20 : x
  2. Step 2: Convert to fraction form
    777,832.80/1,164,416.40 = 462,127.20/x
  3. Step 3: Cross multiply
    777,832.80x = 1,164,416.40 × 462,127.20
  4. Step 4: Simplify right side
    777,832.80x = 538,108,490,566.08
  5. Step 5: Solve for x
    x = 538,108,490,566.08/777,832.80
  6. Step 6: Final answer
    x = 691,804.83

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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.