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Finding the Fourth Proportional to 364,711.60, 546,775.80 and 154,176.40

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Solution

The fourth proportional to 364,711.60, 546,775.80 and 154,176.40 is: 231,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,711.60 : 546,775.80 = 154,176.40 : x
  2. Step 2: Convert to fraction form
    364,711.60/546,775.80 = 154,176.40/x
  3. Step 3: Cross multiply
    364,711.60x = 546,775.80 × 154,176.40
  4. Step 4: Simplify right side
    364,711.60x = 84,299,924,451.12
  5. Step 5: Solve for x
    x = 84,299,924,451.12/364,711.60
  6. Step 6: Final answer
    x = 231,141.33

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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.