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Finding the Fourth Proportional to 294,409.52, 441,621.56 and 107,421

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Solution

The fourth proportional to 294,409.52, 441,621.56 and 107,421 is: 161,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,409.52 : 441,621.56 = 107,421 : x
  2. Step 2: Convert to fraction form
    294,409.52/441,621.56 = 107,421/x
  3. Step 3: Cross multiply
    294,409.52x = 441,621.56 × 107,421
  4. Step 4: Simplify right side
    294,409.52x = 47,439,429,596.76
  5. Step 5: Solve for x
    x = 47,439,429,596.76/294,409.52
  6. Step 6: Final answer
    x = 161,134.16

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1.5x scale

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.