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Finding the Fourth Proportional to 415,926.51, 573,978.60 and 224,939.85

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Solution

The fourth proportional to 415,926.51, 573,978.60 and 224,939.85 is: 310,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,926.51 : 573,978.60 = 224,939.85 : x
  2. Step 2: Convert to fraction form
    415,926.51/573,978.60 = 224,939.85/x
  3. Step 3: Cross multiply
    415,926.51x = 573,978.60 × 224,939.85
  4. Step 4: Simplify right side
    415,926.51x = 129,110,660,187.21
  5. Step 5: Solve for x
    x = 129,110,660,187.21/415,926.51
  6. Step 6: Final answer
    x = 310,417.00

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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.