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Finding the Fourth Proportional to 564,676.56, 778,959.72 and 457,367.76

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Solution

The fourth proportional to 564,676.56, 778,959.72 and 457,367.76 is: 630,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,676.56 : 778,959.72 = 457,367.76 : x
  2. Step 2: Convert to fraction form
    564,676.56/778,959.72 = 457,367.76/x
  3. Step 3: Cross multiply
    564,676.56x = 778,959.72 × 457,367.76
  4. Step 4: Simplify right side
    564,676.56x = 356,271,062,266.63
  5. Step 5: Solve for x
    x = 356,271,062,266.63/564,676.56
  6. Step 6: Final answer
    x = 630,929.43

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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.