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Finding the Fourth Proportional to 469,701.61, 704,679.48 and 334,935.90

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Solution

The fourth proportional to 469,701.61, 704,679.48 and 334,935.90 is: 502,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,701.61 : 704,679.48 = 334,935.90 : x
  2. Step 2: Convert to fraction form
    469,701.61/704,679.48 = 334,935.90/x
  3. Step 3: Cross multiply
    469,701.61x = 704,679.48 × 334,935.90
  4. Step 4: Simplify right side
    469,701.61x = 236,022,455,845.33
  5. Step 5: Solve for x
    x = 236,022,455,845.33/469,701.61
  6. Step 6: Final answer
    x = 502,494.46

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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.