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Finding the Fourth Proportional to 670,156.84, 1,005,233.22 and 270,793

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Solution

The fourth proportional to 670,156.84, 1,005,233.22 and 270,793 is: 406,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,156.84 : 1,005,233.22 = 270,793 : x
  2. Step 2: Convert to fraction form
    670,156.84/1,005,233.22 = 270,793/x
  3. Step 3: Cross multiply
    670,156.84x = 1,005,233.22 × 270,793
  4. Step 4: Simplify right side
    670,156.84x = 272,210,119,343.46
  5. Step 5: Solve for x
    x = 272,210,119,343.46/670,156.84
  6. Step 6: Final answer
    x = 406,188.68

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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.