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Finding the Fourth Proportional to 504,966.60, 756,429.30 and 314,843.40

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Solution

The fourth proportional to 504,966.60, 756,429.30 and 314,843.40 is: 471,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,966.60 : 756,429.30 = 314,843.40 : x
  2. Step 2: Convert to fraction form
    504,966.60/756,429.30 = 314,843.40/x
  3. Step 3: Cross multiply
    504,966.60x = 756,429.30 × 314,843.40
  4. Step 4: Simplify right side
    504,966.60x = 238,156,772,671.62
  5. Step 5: Solve for x
    x = 238,156,772,671.62/504,966.60
  6. Step 6: Final answer
    x = 471,628.76

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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.