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Finding the Fourth Proportional to 328,653.19, 493,008.02 and 115,402.77

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Solution

The fourth proportional to 328,653.19, 493,008.02 and 115,402.77 is: 173,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,653.19 : 493,008.02 = 115,402.77 : x
  2. Step 2: Convert to fraction form
    328,653.19/493,008.02 = 115,402.77/x
  3. Step 3: Cross multiply
    328,653.19x = 493,008.02 × 115,402.77
  4. Step 4: Simplify right side
    328,653.19x = 56,894,491,795.72
  5. Step 5: Solve for x
    x = 56,894,491,795.72/328,653.19
  6. Step 6: Final answer
    x = 173,114.07

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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.