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Finding the Fourth Proportional to 304,711.36, 457,362.60 and 147,050.80

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Solution

The fourth proportional to 304,711.36, 457,362.60 and 147,050.80 is: 220,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,711.36 : 457,362.60 = 147,050.80 : x
  2. Step 2: Convert to fraction form
    304,711.36/457,362.60 = 147,050.80/x
  3. Step 3: Cross multiply
    304,711.36x = 457,362.60 × 147,050.80
  4. Step 4: Simplify right side
    304,711.36x = 67,255,536,220.08
  5. Step 5: Solve for x
    x = 67,255,536,220.08/304,711.36
  6. Step 6: Final answer
    x = 220,718.83

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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.