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Finding the Fourth Proportional to 337,890.16, 508,050.42 and 311,558.01

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Solution

The fourth proportional to 337,890.16, 508,050.42 and 311,558.01 is: 468,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,890.16 : 508,050.42 = 311,558.01 : x
  2. Step 2: Convert to fraction form
    337,890.16/508,050.42 = 311,558.01/x
  3. Step 3: Cross multiply
    337,890.16x = 508,050.42 × 311,558.01
  4. Step 4: Simplify right side
    337,890.16x = 158,287,177,834.86
  5. Step 5: Solve for x
    x = 158,287,177,834.86/337,890.16
  6. Step 6: Final answer
    x = 468,457.49

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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.