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Finding the Fourth Proportional to 646,595.34, 969,892.61 and 304,959.32

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Solution

The fourth proportional to 646,595.34, 969,892.61 and 304,959.32 is: 457,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,595.34 : 969,892.61 = 304,959.32 : x
  2. Step 2: Convert to fraction form
    646,595.34/969,892.61 = 304,959.32/x
  3. Step 3: Cross multiply
    646,595.34x = 969,892.61 × 304,959.32
  4. Step 4: Simplify right side
    646,595.34x = 295,777,784,444.37
  5. Step 5: Solve for x
    x = 295,777,784,444.37/646,595.34
  6. Step 6: Final answer
    x = 457,438.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.