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Finding the Fourth Proportional to 716,779.40, 989,042.24 and 410,796.86

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Solution

The fourth proportional to 716,779.40, 989,042.24 and 410,796.86 is: 566,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,779.40 : 989,042.24 = 410,796.86 : x
  2. Step 2: Convert to fraction form
    716,779.40/989,042.24 = 410,796.86/x
  3. Step 3: Cross multiply
    716,779.40x = 989,042.24 × 410,796.86
  4. Step 4: Simplify right side
    716,779.40x = 406,295,446,599.37
  5. Step 5: Solve for x
    x = 406,295,446,599.37/716,779.40
  6. Step 6: Final answer
    x = 566,834.71

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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.