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Finding the Fourth Proportional to 305,866.30, 457,924.65 and 305,866.30

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Solution

The fourth proportional to 305,866.30, 457,924.65 and 305,866.30 is: 457,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,866.30 : 457,924.65 = 305,866.30 : x
  2. Step 2: Convert to fraction form
    305,866.30/457,924.65 = 305,866.30/x
  3. Step 3: Cross multiply
    305,866.30x = 457,924.65 × 305,866.30
  4. Step 4: Simplify right side
    305,866.30x = 140,063,718,374.30
  5. Step 5: Solve for x
    x = 140,063,718,374.30/305,866.30
  6. Step 6: Final answer
    x = 457,924.65

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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.