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Finding the Fourth Proportional to 510,587.32, 704,704.99 and 295,727.33

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Solution

The fourth proportional to 510,587.32, 704,704.99 and 295,727.33 is: 408,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,587.32 : 704,704.99 = 295,727.33 : x
  2. Step 2: Convert to fraction form
    510,587.32/704,704.99 = 295,727.33/x
  3. Step 3: Cross multiply
    510,587.32x = 704,704.99 × 295,727.33
  4. Step 4: Simplify right side
    510,587.32x = 208,400,525,130.38
  5. Step 5: Solve for x
    x = 208,400,525,130.38/510,587.32
  6. Step 6: Final answer
    x = 408,158.44

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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.