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Finding the Fourth Proportional to 294,095, 441,142.50 and 72,479

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Solution

The fourth proportional to 294,095, 441,142.50 and 72,479 is: 108,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,095 : 441,142.50 = 72,479 : x
  2. Step 2: Convert to fraction form
    294,095/441,142.50 = 72,479/x
  3. Step 3: Cross multiply
    294,095x = 441,142.50 × 72,479
  4. Step 4: Simplify right side
    294,095x = 31,973,567,257.50
  5. Step 5: Solve for x
    x = 31,973,567,257.50/294,095
  6. Step 6: Final answer
    x = 108,718.50

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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.