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Finding the Fourth Proportional to 474,860.64, 712,285.02 and 190,677

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Solution

The fourth proportional to 474,860.64, 712,285.02 and 190,677 is: 286,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,860.64 : 712,285.02 = 190,677 : x
  2. Step 2: Convert to fraction form
    474,860.64/712,285.02 = 190,677/x
  3. Step 3: Cross multiply
    474,860.64x = 712,285.02 × 190,677
  4. Step 4: Simplify right side
    474,860.64x = 135,816,370,758.54
  5. Step 5: Solve for x
    x = 135,816,370,758.54/474,860.64
  6. Step 6: Final answer
    x = 286,013.11

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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.