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Finding the Fourth Proportional to 413,237.29, 620,095.26 and 173,329.87

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Solution

The fourth proportional to 413,237.29, 620,095.26 and 173,329.87 is: 260,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,237.29 : 620,095.26 = 173,329.87 : x
  2. Step 2: Convert to fraction form
    413,237.29/620,095.26 = 173,329.87/x
  3. Step 3: Cross multiply
    413,237.29x = 620,095.26 × 173,329.87
  4. Step 4: Simplify right side
    413,237.29x = 107,481,030,803.42
  5. Step 5: Solve for x
    x = 107,481,030,803.42/413,237.29
  6. Step 6: Final answer
    x = 260,095.19

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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.