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Finding the Fourth Proportional to 413,233.71, 620,089.91 and 173,326.29

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Solution

The fourth proportional to 413,233.71, 620,089.91 and 173,326.29 is: 260,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,233.71 : 620,089.91 = 173,326.29 : x
  2. Step 2: Convert to fraction form
    413,233.71/620,089.91 = 173,326.29/x
  3. Step 3: Cross multiply
    413,233.71x = 620,089.91 × 173,326.29
  4. Step 4: Simplify right side
    413,233.71x = 107,477,882,700.10
  5. Step 5: Solve for x
    x = 107,477,882,700.10/413,233.71
  6. Step 6: Final answer
    x = 260,089.82

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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.