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Finding the Fourth Proportional to 364,345.15, 546,353.70 and 164,562.70

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Solution

The fourth proportional to 364,345.15, 546,353.70 and 164,562.70 is: 246,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,345.15 : 546,353.70 = 164,562.70 : x
  2. Step 2: Convert to fraction form
    364,345.15/546,353.70 = 164,562.70/x
  3. Step 3: Cross multiply
    364,345.15x = 546,353.70 × 164,562.70
  4. Step 4: Simplify right side
    364,345.15x = 89,909,440,026.99
  5. Step 5: Solve for x
    x = 89,909,440,026.99/364,345.15
  6. Step 6: Final answer
    x = 246,769.97

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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.