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Finding the Fourth Proportional to 460,689.53, 691,089.67 and 435,495.29

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Solution

The fourth proportional to 460,689.53, 691,089.67 and 435,495.29 is: 653,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,689.53 : 691,089.67 = 435,495.29 : x
  2. Step 2: Convert to fraction form
    460,689.53/691,089.67 = 435,495.29/x
  3. Step 3: Cross multiply
    460,689.53x = 691,089.67 × 435,495.29
  4. Step 4: Simplify right side
    460,689.53x = 300,966,296,891.64
  5. Step 5: Solve for x
    x = 300,966,296,891.64/460,689.53
  6. Step 6: Final answer
    x = 653,295.28

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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.