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Finding the Fourth Proportional to 311,054.80, 466,582.20 and 305,870.80

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Solution

The fourth proportional to 311,054.80, 466,582.20 and 305,870.80 is: 458,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,054.80 : 466,582.20 = 305,870.80 : x
  2. Step 2: Convert to fraction form
    311,054.80/466,582.20 = 305,870.80/x
  3. Step 3: Cross multiply
    311,054.80x = 466,582.20 × 305,870.80
  4. Step 4: Simplify right side
    311,054.80x = 142,713,870,779.76
  5. Step 5: Solve for x
    x = 142,713,870,779.76/311,054.80
  6. Step 6: Final answer
    x = 458,806.20

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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.