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Finding the Fourth Proportional to 475,653.08, 656,431.64 and 314,225.13

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Solution

The fourth proportional to 475,653.08, 656,431.64 and 314,225.13 is: 433,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,653.08 : 656,431.64 = 314,225.13 : x
  2. Step 2: Convert to fraction form
    475,653.08/656,431.64 = 314,225.13/x
  3. Step 3: Cross multiply
    475,653.08x = 656,431.64 × 314,225.13
  4. Step 4: Simplify right side
    475,653.08x = 206,267,315,843.99
  5. Step 5: Solve for x
    x = 206,267,315,843.99/475,653.08
  6. Step 6: Final answer
    x = 433,650.76

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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.