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Finding the Fourth Proportional to 475,779.15, 656,605.58 and 314,351.01

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Solution

The fourth proportional to 475,779.15, 656,605.58 and 314,351.01 is: 433,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,779.15 : 656,605.58 = 314,351.01 : x
  2. Step 2: Convert to fraction form
    475,779.15/656,605.58 = 314,351.01/x
  3. Step 3: Cross multiply
    475,779.15x = 656,605.58 × 314,351.01
  4. Step 4: Simplify right side
    475,779.15x = 206,404,625,672.88
  5. Step 5: Solve for x
    x = 206,404,625,672.88/475,779.15
  6. Step 6: Final answer
    x = 433,824.44

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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.