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Finding the Fourth Proportional to 333,478.24, 459,229.58 and 289,851.24

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Solution

The fourth proportional to 333,478.24, 459,229.58 and 289,851.24 is: 399,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,478.24 : 459,229.58 = 289,851.24 : x
  2. Step 2: Convert to fraction form
    333,478.24/459,229.58 = 289,851.24/x
  3. Step 3: Cross multiply
    333,478.24x = 459,229.58 × 289,851.24
  4. Step 4: Simplify right side
    333,478.24x = 133,108,263,207.68
  5. Step 5: Solve for x
    x = 133,108,263,207.68/333,478.24
  6. Step 6: Final answer
    x = 399,151.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.