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Finding the Fourth Proportional to 415,837.74, 573,715.13 and 339,224.40

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Solution

The fourth proportional to 415,837.74, 573,715.13 and 339,224.40 is: 468,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,837.74 : 573,715.13 = 339,224.40 : x
  2. Step 2: Convert to fraction form
    415,837.74/573,715.13 = 339,224.40/x
  3. Step 3: Cross multiply
    415,837.74x = 573,715.13 × 339,224.40
  4. Step 4: Simplify right side
    415,837.74x = 194,618,166,604.51
  5. Step 5: Solve for x
    x = 194,618,166,604.51/415,837.74
  6. Step 6: Final answer
    x = 468,014.68

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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.