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Finding the Fourth Proportional to 532,893.84, 799,909.53 and 229,438.17

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Solution

The fourth proportional to 532,893.84, 799,909.53 and 229,438.17 is: 344,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,893.84 : 799,909.53 = 229,438.17 : x
  2. Step 2: Convert to fraction form
    532,893.84/799,909.53 = 229,438.17/x
  3. Step 3: Cross multiply
    532,893.84x = 799,909.53 × 229,438.17
  4. Step 4: Simplify right side
    532,893.84x = 183,529,777,868.37
  5. Step 5: Solve for x
    x = 183,529,777,868.37/532,893.84
  6. Step 6: Final answer
    x = 344,402.14

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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.