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Finding the Fourth Proportional to 506,789.82, 699,065.89 and 334,708.13

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Solution

The fourth proportional to 506,789.82, 699,065.89 and 334,708.13 is: 461,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,789.82 : 699,065.89 = 334,708.13 : x
  2. Step 2: Convert to fraction form
    506,789.82/699,065.89 = 334,708.13/x
  3. Step 3: Cross multiply
    506,789.82x = 699,065.89 × 334,708.13
  4. Step 4: Simplify right side
    506,789.82x = 233,983,037,699.58
  5. Step 5: Solve for x
    x = 233,983,037,699.58/506,789.82
  6. Step 6: Final answer
    x = 461,696.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.