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Finding the Fourth Proportional to 510,525.36, 704,518.02 and 284,171.04

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Solution

The fourth proportional to 510,525.36, 704,518.02 and 284,171.04 is: 392,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,525.36 : 704,518.02 = 284,171.04 : x
  2. Step 2: Convert to fraction form
    510,525.36/704,518.02 = 284,171.04/x
  3. Step 3: Cross multiply
    510,525.36x = 704,518.02 × 284,171.04
  4. Step 4: Simplify right side
    510,525.36x = 200,203,618,442.14
  5. Step 5: Solve for x
    x = 200,203,618,442.14/510,525.36
  6. Step 6: Final answer
    x = 392,152.15

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1.5x scale

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.