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Finding the Fourth Proportional to 464,299.56, 695,516.22 and 242,217

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Solution

The fourth proportional to 464,299.56, 695,516.22 and 242,217 is: 362,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,299.56 : 695,516.22 = 242,217 : x
  2. Step 2: Convert to fraction form
    464,299.56/695,516.22 = 242,217/x
  3. Step 3: Cross multiply
    464,299.56x = 695,516.22 × 242,217
  4. Step 4: Simplify right side
    464,299.56x = 168,465,852,259.74
  5. Step 5: Solve for x
    x = 168,465,852,259.74/464,299.56
  6. Step 6: Final answer
    x = 362,838.71

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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.