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Finding the Fourth Proportional to 509,648.01, 703,327.76 and 280,214.88

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Solution

The fourth proportional to 509,648.01, 703,327.76 and 280,214.88 is: 386,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,648.01 : 703,327.76 = 280,214.88 : x
  2. Step 2: Convert to fraction form
    509,648.01/703,327.76 = 280,214.88/x
  3. Step 3: Cross multiply
    509,648.01x = 703,327.76 × 280,214.88
  4. Step 4: Simplify right side
    509,648.01x = 197,082,903,869.07
  5. Step 5: Solve for x
    x = 197,082,903,869.07/509,648.01
  6. Step 6: Final answer
    x = 386,703.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.