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Finding the Fourth Proportional to 294,564, 441,850.56 and 72,948

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Solution

The fourth proportional to 294,564, 441,850.56 and 72,948 is: 109,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,564 : 441,850.56 = 72,948 : x
  2. Step 2: Convert to fraction form
    294,564/441,850.56 = 72,948/x
  3. Step 3: Cross multiply
    294,564x = 441,850.56 × 72,948
  4. Step 4: Simplify right side
    294,564x = 32,232,114,650.88
  5. Step 5: Solve for x
    x = 32,232,114,650.88/294,564
  6. Step 6: Final answer
    x = 109,423.13

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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.