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Finding the Fourth Proportional to 330,966, 456,733.08 and 180,064.08

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Solution

The fourth proportional to 330,966, 456,733.08 and 180,064.08 is: 248,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,966 : 456,733.08 = 180,064.08 : x
  2. Step 2: Convert to fraction form
    330,966/456,733.08 = 180,064.08/x
  3. Step 3: Cross multiply
    330,966x = 456,733.08 × 180,064.08
  4. Step 4: Simplify right side
    330,966x = 82,241,221,855.77
  5. Step 5: Solve for x
    x = 82,241,221,855.77/330,966
  6. Step 6: Final answer
    x = 248,488.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.