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Finding the Fourth Proportional to 457,125.94, 682,908.92 and 295,888.30

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Solution

The fourth proportional to 457,125.94, 682,908.92 and 295,888.30 is: 442,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,125.94 : 682,908.92 = 295,888.30 : x
  2. Step 2: Convert to fraction form
    457,125.94/682,908.92 = 295,888.30/x
  3. Step 3: Cross multiply
    457,125.94x = 682,908.92 × 295,888.30
  4. Step 4: Simplify right side
    457,125.94x = 202,064,759,393.64
  5. Step 5: Solve for x
    x = 202,064,759,393.64/457,125.94
  6. Step 6: Final answer
    x = 442,033.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.