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Finding the Fourth Proportional to 550,084.39, 824,649.54 and 212,892.93

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Solution

The fourth proportional to 550,084.39, 824,649.54 and 212,892.93 is: 319,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,084.39 : 824,649.54 = 212,892.93 : x
  2. Step 2: Convert to fraction form
    550,084.39/824,649.54 = 212,892.93/x
  3. Step 3: Cross multiply
    550,084.39x = 824,649.54 × 212,892.93
  4. Step 4: Simplify right side
    550,084.39x = 175,562,056,793.75
  5. Step 5: Solve for x
    x = 175,562,056,793.75/550,084.39
  6. Step 6: Final answer
    x = 319,154.77

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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.