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Finding the Fourth Proportional to 787,564, 1,086,838.32 and 429,868

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Solution

The fourth proportional to 787,564, 1,086,838.32 and 429,868 is: 593,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,564 : 1,086,838.32 = 429,868 : x
  2. Step 2: Convert to fraction form
    787,564/1,086,838.32 = 429,868/x
  3. Step 3: Cross multiply
    787,564x = 1,086,838.32 × 429,868
  4. Step 4: Simplify right side
    787,564x = 467,197,014,941.76
  5. Step 5: Solve for x
    x = 467,197,014,941.76/787,564
  6. Step 6: Final answer
    x = 593,217.84

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