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Finding the Fourth Proportional to 475,782.15, 656,609.73 and 314,354.01

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Solution

The fourth proportional to 475,782.15, 656,609.73 and 314,354.01 is: 433,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,782.15 : 656,609.73 = 314,354.01 : x
  2. Step 2: Convert to fraction form
    475,782.15/656,609.73 = 314,354.01/x
  3. Step 3: Cross multiply
    475,782.15x = 656,609.73 × 314,354.01
  4. Step 4: Simplify right side
    475,782.15x = 206,407,901,630.52
  5. Step 5: Solve for x
    x = 206,407,901,630.52/475,782.15
  6. Step 6: Final answer
    x = 433,828.59

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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.