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Finding the Fourth Proportional to 595,034.29, 821,031.76 and 353,392.66

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Solution

The fourth proportional to 595,034.29, 821,031.76 and 353,392.66 is: 487,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,034.29 : 821,031.76 = 353,392.66 : x
  2. Step 2: Convert to fraction form
    595,034.29/821,031.76 = 353,392.66/x
  3. Step 3: Cross multiply
    595,034.29x = 821,031.76 × 353,392.66
  4. Step 4: Simplify right side
    595,034.29x = 290,146,597,610.88
  5. Step 5: Solve for x
    x = 290,146,597,610.88/595,034.29
  6. Step 6: Final answer
    x = 487,613.24

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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.