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Finding the Fourth Proportional to 601,210, 829,695.88 and 332,938

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Solution

The fourth proportional to 601,210, 829,695.88 and 332,938 is: 459,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,210 : 829,695.88 = 332,938 : x
  2. Step 2: Convert to fraction form
    601,210/829,695.88 = 332,938/x
  3. Step 3: Cross multiply
    601,210x = 829,695.88 × 332,938
  4. Step 4: Simplify right side
    601,210x = 276,237,286,895.44
  5. Step 5: Solve for x
    x = 276,237,286,895.44/601,210
  6. Step 6: Final answer
    x = 459,468.88

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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.