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Finding the Fourth Proportional to 647,429.30, 894,016.58 and 406,126.65

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Solution

The fourth proportional to 647,429.30, 894,016.58 and 406,126.65 is: 560,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,429.30 : 894,016.58 = 406,126.65 : x
  2. Step 2: Convert to fraction form
    647,429.30/894,016.58 = 406,126.65/x
  3. Step 3: Cross multiply
    647,429.30x = 894,016.58 × 406,126.65
  4. Step 4: Simplify right side
    647,429.30x = 363,083,956,649.22
  5. Step 5: Solve for x
    x = 363,083,956,649.22/647,429.30
  6. Step 6: Final answer
    x = 560,808.66

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