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Finding the Fourth Proportional to 405,830.80, 608,227.80 and 311,870.80

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Solution

The fourth proportional to 405,830.80, 608,227.80 and 311,870.80 is: 467,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,830.80 : 608,227.80 = 311,870.80 : x
  2. Step 2: Convert to fraction form
    405,830.80/608,227.80 = 311,870.80/x
  3. Step 3: Cross multiply
    405,830.80x = 608,227.80 × 311,870.80
  4. Step 4: Simplify right side
    405,830.80x = 189,688,490,568.24
  5. Step 5: Solve for x
    x = 189,688,490,568.24/405,830.80
  6. Step 6: Final answer
    x = 467,407.82

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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.