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Finding the Fourth Proportional to 510,653.64, 704,595.18 and 295,780.88

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Solution

The fourth proportional to 510,653.64, 704,595.18 and 295,780.88 is: 408,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,653.64 : 704,595.18 = 295,780.88 : x
  2. Step 2: Convert to fraction form
    510,653.64/704,595.18 = 295,780.88/x
  3. Step 3: Cross multiply
    510,653.64x = 704,595.18 × 295,780.88
  4. Step 4: Simplify right side
    510,653.64x = 208,405,782,384.16
  5. Step 5: Solve for x
    x = 208,405,782,384.16/510,653.64
  6. Step 6: Final answer
    x = 408,115.73

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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.