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Finding the Fourth Proportional to 367,051.19, 506,553.90 and 205,916.67

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Solution

The fourth proportional to 367,051.19, 506,553.90 and 205,916.67 is: 284,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,051.19 : 506,553.90 = 205,916.67 : x
  2. Step 2: Convert to fraction form
    367,051.19/506,553.90 = 205,916.67/x
  3. Step 3: Cross multiply
    367,051.19x = 506,553.90 × 205,916.67
  4. Step 4: Simplify right side
    367,051.19x = 104,307,892,263.51
  5. Step 5: Solve for x
    x = 104,307,892,263.51/367,051.19
  6. Step 6: Final answer
    x = 284,178.06

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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.