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Finding the Fourth Proportional to 510,285.96, 704,103.84 and 295,415.64

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Solution

The fourth proportional to 510,285.96, 704,103.84 and 295,415.64 is: 407,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,285.96 : 704,103.84 = 295,415.64 : x
  2. Step 2: Convert to fraction form
    510,285.96/704,103.84 = 295,415.64/x
  3. Step 3: Cross multiply
    510,285.96x = 704,103.84 × 295,415.64
  4. Step 4: Simplify right side
    510,285.96x = 208,003,286,520.06
  5. Step 5: Solve for x
    x = 208,003,286,520.06/510,285.96
  6. Step 6: Final answer
    x = 407,621.03

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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.