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Finding the Fourth Proportional to 289,779.76, 399,895.80 and 162,455.38

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Solution

The fourth proportional to 289,779.76, 399,895.80 and 162,455.38 is: 224,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,779.76 : 399,895.80 = 162,455.38 : x
  2. Step 2: Convert to fraction form
    289,779.76/399,895.80 = 162,455.38/x
  3. Step 3: Cross multiply
    289,779.76x = 399,895.80 × 162,455.38
  4. Step 4: Simplify right side
    289,779.76x = 64,965,224,149.40
  5. Step 5: Solve for x
    x = 64,965,224,149.40/289,779.76
  6. Step 6: Final answer
    x = 224,188.27

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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.