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Finding the Fourth Proportional to 480,833.64, 663,544.74 and 265,956.84

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Solution

The fourth proportional to 480,833.64, 663,544.74 and 265,956.84 is: 367,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,833.64 : 663,544.74 = 265,956.84 : x
  2. Step 2: Convert to fraction form
    480,833.64/663,544.74 = 265,956.84/x
  3. Step 3: Cross multiply
    480,833.64x = 663,544.74 × 265,956.84
  4. Step 4: Simplify right side
    480,833.64x = 176,474,262,249.02
  5. Step 5: Solve for x
    x = 176,474,262,249.02/480,833.64
  6. Step 6: Final answer
    x = 367,017.30

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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.