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Finding the Fourth Proportional to 305,878.80, 457,943.40 and 305,878.80

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Solution

The fourth proportional to 305,878.80, 457,943.40 and 305,878.80 is: 457,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,878.80 : 457,943.40 = 305,878.80 : x
  2. Step 2: Convert to fraction form
    305,878.80/457,943.40 = 305,878.80/x
  3. Step 3: Cross multiply
    305,878.80x = 457,943.40 × 305,878.80
  4. Step 4: Simplify right side
    305,878.80x = 140,075,177,659.92
  5. Step 5: Solve for x
    x = 140,075,177,659.92/305,878.80
  6. Step 6: Final answer
    x = 457,943.40

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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.