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Finding the Fourth Proportional to 365,470.86, 548,068.05 and 155,207.82

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Solution

The fourth proportional to 365,470.86, 548,068.05 and 155,207.82 is: 232,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,470.86 : 548,068.05 = 155,207.82 : x
  2. Step 2: Convert to fraction form
    365,470.86/548,068.05 = 155,207.82/x
  3. Step 3: Cross multiply
    365,470.86x = 548,068.05 × 155,207.82
  4. Step 4: Simplify right side
    365,470.86x = 85,064,447,252.15
  5. Step 5: Solve for x
    x = 85,064,447,252.15/365,470.86
  6. Step 6: Final answer
    x = 232,753.02

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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.