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Finding the Fourth Proportional to 364,516.40, 546,711.59 and 164,790.38

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Solution

The fourth proportional to 364,516.40, 546,711.59 and 164,790.38 is: 247,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,516.40 : 546,711.59 = 164,790.38 : x
  2. Step 2: Convert to fraction form
    364,516.40/546,711.59 = 164,790.38/x
  3. Step 3: Cross multiply
    364,516.40x = 546,711.59 × 164,790.38
  4. Step 4: Simplify right side
    364,516.40x = 90,092,812,445.26
  5. Step 5: Solve for x
    x = 90,092,812,445.26/364,516.40
  6. Step 6: Final answer
    x = 247,157.09

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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.