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Finding the Fourth Proportional to 294,527, 441,790.50 and 72,911

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Solution

The fourth proportional to 294,527, 441,790.50 and 72,911 is: 109,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,527 : 441,790.50 = 72,911 : x
  2. Step 2: Convert to fraction form
    294,527/441,790.50 = 72,911/x
  3. Step 3: Cross multiply
    294,527x = 441,790.50 × 72,911
  4. Step 4: Simplify right side
    294,527x = 32,211,387,145.50
  5. Step 5: Solve for x
    x = 32,211,387,145.50/294,527
  6. Step 6: Final answer
    x = 109,366.50

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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.