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Finding the Fourth Proportional to 305,228.80, 457,886.40 and 94,844.80

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Solution

The fourth proportional to 305,228.80, 457,886.40 and 94,844.80 is: 142,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,228.80 : 457,886.40 = 94,844.80 : x
  2. Step 2: Convert to fraction form
    305,228.80/457,886.40 = 94,844.80/x
  3. Step 3: Cross multiply
    305,228.80x = 457,886.40 × 94,844.80
  4. Step 4: Simplify right side
    305,228.80x = 43,428,144,030.72
  5. Step 5: Solve for x
    x = 43,428,144,030.72/305,228.80
  6. Step 6: Final answer
    x = 142,280.62

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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.