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Finding the Fourth Proportional to 415,606.16, 573,739.80 and 313,472.72

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Solution

The fourth proportional to 415,606.16, 573,739.80 and 313,472.72 is: 432,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,606.16 : 573,739.80 = 313,472.72 : x
  2. Step 2: Convert to fraction form
    415,606.16/573,739.80 = 313,472.72/x
  3. Step 3: Cross multiply
    415,606.16x = 573,739.80 × 313,472.72
  4. Step 4: Simplify right side
    415,606.16x = 179,851,775,678.26
  5. Step 5: Solve for x
    x = 179,851,775,678.26/415,606.16
  6. Step 6: Final answer
    x = 432,745.69

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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.