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Finding the Fourth Proportional to 454,970.30, 682,455.45 and 305,671.10

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Solution

The fourth proportional to 454,970.30, 682,455.45 and 305,671.10 is: 458,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,970.30 : 682,455.45 = 305,671.10 : x
  2. Step 2: Convert to fraction form
    454,970.30/682,455.45 = 305,671.10/x
  3. Step 3: Cross multiply
    454,970.30x = 682,455.45 × 305,671.10
  4. Step 4: Simplify right side
    454,970.30x = 208,606,908,102.50
  5. Step 5: Solve for x
    x = 208,606,908,102.50/454,970.30
  6. Step 6: Final answer
    x = 458,506.65

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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.