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Finding the Fourth Proportional to 469,840.83, 704,266.80 and 299,192.28

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Solution

The fourth proportional to 469,840.83, 704,266.80 and 299,192.28 is: 448,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,840.83 : 704,266.80 = 299,192.28 : x
  2. Step 2: Convert to fraction form
    469,840.83/704,266.80 = 299,192.28/x
  3. Step 3: Cross multiply
    469,840.83x = 704,266.80 × 299,192.28
  4. Step 4: Simplify right side
    469,840.83x = 210,711,189,620.30
  5. Step 5: Solve for x
    x = 210,711,189,620.30/469,840.83
  6. Step 6: Final answer
    x = 448,473.56

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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.